Can 15 12 9 make a triangle?
The sum of the squares of 9 and 12 does indeed equal the square of the hypotenuse, h=15; therefore, the triangle is indeed a right triangle. Therefore, final answer: Yes, the triangle with sides 9,12 and 15 is a right triangle.
Which triangle has sides with lengths 9 12 and 15?
Given that the sides of the triangle are 9 cm, 12 cm, and 15 cm, we can use the Pythagorean Theorem to determine if the triangle is a right triangle. Therefore c 2 = a 2 + b 2 and this triangle is a right triangle.
Is 9 12 and 14 a right triangle?
14^2=196 and 9^2+12^2=81+144=225 so the triple (9,12,14) does not form a right angle triangle.
What is the Pythagorean triplet of 9 12 15?
In Option c): 92 + 122 = 81 + 144 = 225 = 152 which means 9, 12 and 15 is a Pythagorean triple.
Can 15 8 7 make a triangle?
There is a property with triangles that sum of two sides of triangle should always be greater than the 3rd side. Here if we take the two smaller sides their sum is 7 + 8 = 15 which is equal to the third side. So it is not possible to construct a triangle with sides 7, 8 and 15 respectively.
Does 5 12 13 make a triangle?
Yes, 5 12 and 13 make a right triangle. They are referred to as Pythagorean triplets, where 5 squared and 12 squared equal 13 squared, which is the application of the Pythagorean theorem.
Is 10 12 15 a right triangle?
The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse. Therefore, 10, 12, and 15 are not the side lengths of a right triangle.
Is 11 12 15 a right triangle?
Final answer: By applying the Pythagorean Theorem, we learn that the Triangle with sides 11, 12, and 15 isn't a right-angled triangle because the sum of the squares of the two shorter sides isn't equal to the square of the hypotenuse.
Does 9 15 17 make a right triangle?
Using the side-side-side rule, it's shown that 9,15, and 17 don't make a right triangle.
Can 6 9 12 make a triangle?
A triangle can be formed with side lengths 6, 9, and 12. In order for a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 6 + 9 is equal to 15, which is greater than 12.
What kind of triangle is 5 9 12?
So the given triangle is an obtuse angle triangle. Hence, the given sides represents an obtuse angle triangle.
Does 15 8 17 make a right triangle?
Determine if the following lengths are Pythagorean Triples. Plug the given numbers into the Pythagorean Theorem. Yes, 8, 15, 17 is a Pythagorean Triple and sides of a right triangle.
Is 9 12 15 a primitive Pythagorean triple?
A primitive Pythagorean triple means that there is no common factor (other than one) to the three sides. Thus 3–4–5, 5–12–13, 7–24–25 are all primitive Pythagorean triples. But 9–12–15 is not a primitive Pythagorean triple because 3 is a common factor of 9, 12, and 15.
Is 9 12 a Pythagorean triple?
The 5 most common Pythagorean triples are ( 3 , 4 , 5 ) , ( 5 , 12 , 13 ) , ( 6 , 8 , 10 ) , ( 9 , 12 , 15 ) , and ( 15 , 20 , 25 ) .
Is 11 12 15 a Pythagorean triplet?
The biggest number among the given set is 15. Thus, (11, 12, 15) does not form a Pythagorean triplet. Hence, the given triangle with sides 8, 15 and 17 is not a right-angled triangle.
Can 9 6 15 be a triangle?
Explanation: In general, a triangle will exist only when the sum of two sides is greater than the longest side. The longest side of given triangle 15 is equal to the sum of other two sides 6 & 9 thus triangle will be a straight line or triangle does not exist.
Can 5 7 and 11 make a triangle?
Summary: A triangle with length of sides 5, 7 and 11 is obtuse.
Can 5 7 12 make a triangle?
Hence, the construction of a triangle is not possible with sides 7 c m , 5 c m and 12 c m .
Does 8 10 12 make a right triangle?
Given a triangle having side lengths 8,10 and 12. As all the lengths are different from each other, this is a scalene triangle.
Can 13 14 15 make a triangle?
The 13–14–15 triangle is special because it is the smallest acute triangle with sequential integer sides and an integer area. Its area is 84. The next two triangles like this are 51–52–53 and 193–194–195, which have areas of 1,170 and 16,296. There are only 10 such triangles with sides less than 1,000,000.
Is 13 14 15 a triangle?
Heronian triangles are named after Heron of Alexandria, based on their relation to Heron's formula which Heron demonstrated with the example triangle of sides 13, 14, 15 and area 84.
Is 16 20 12 a right triangle?
The equation is true! So, a triangle with side lengths 12, 16, and 20 is a right triangle.
Is 15 36 39 a right triangle?
Explanation: If it is a right triangle, then is we substitute the values of the legs of the triangle (15 and 36) and the value of the hypotenuse (39) into the Pythagoras theorem the value of each side of the equation will be equal. 1521=1521 Therefore this would be a right triangle.
Do 10 15 and 20 form a right triangle?
These two calculations do not meet the requirement of the Pythagorean Theorem. Conclusion: The three given lengths do not make a right triangle.
Is 12 13 15 a Pythagorean triplet?
They are not Pythagorean triplet.
What are the two sides of a triangle 12 and 15?
Therefore, the third side should be less than 12+15=27cm. And also we know that the third side cannot be less than the difference of the two sides. Therefore, the third side has to be more than 15−12=3cm. By the above results we can say that the third side should be the length more than 3cm and less than 27cm.
Is 20 21 29 a right triangle?
The trio of 20, 21, and 29 is an example of a Pythagorean triple. Plug these numbers into the Pythagorean Theorem to verify they could be the sides of a right triangle. The numbers verify that 20, 21, and 29 satisfy the Pythagorean Theorem.
Is 9 13 16 a right triangle?
The numbers 9,13,16 do not form a right triangle. This was verified using the Pythagorean theorem, a² + b² = c², where the sides 9 and 13 and the hypotenuse 16 did not satisfy the equation.
What is a cute angle?
The triangles with lengths (15,16,21), (20,23,41), and (6,13,20) are obtuse, while (10,24,26) forms a right triangle. These classifications are determined by comparing the square of the longest side with the sum of the squares of the other sides.
Is 15 16 21 a right triangle?
The only condition for three sides to be able to form a triangle is that no single side may be larger than (or equal to) the other two combined. Since the largest side, 12, is less than the sum of 9 and 11, there's no problem.
Can 11 12 9 make a triangle?
Explanation: The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Since 3 + 6 = 9, the third side, we cannot form a triangle with sides measuring 3, 6, 9.
Can 369 make a triangle?
In a right triangle by Pythagorus a²+b²=c² where c is the hypotenuse or longest side. so take the 2 smallest 6²+12² = 36 +144 = 180. but for a right triangle this must equal 16² =256. but 180 does not equal 256 so it is not a right triangle.
Can 6 12 16 make a triangle?
Use the Triangle Inequality Theorem. Check to make sure that the smaller two numbers add up to be greater than the largest number. 4 + 8 = 12 and so yes these lengths make a triangle.
Is 4 8 12 a triangle?
Note that for any triangle, the sum of the lengths of any two sides is greater than the third side. Therefore, we must do the test if the given lengths can form a triangle. Therefore, it is possible to form a triangle with side lengths of 8, 7 and 9 cm.
Is 7 8 9 a triangle?
IT IS PRESUMED THAT THE SIDES OF TRIANGLE ARE 6, 9 AND 8. IN ALL COMBINATIONS SUM OF TWO SIDES IS MORE THAN THIRD SIDE. IT IS A TRIANGLE.
Is 6 8 9 a triangle?
This looks like a trick question because a triangle with sides 3, 4 and 5 is widely recognized as a right triangle. If you look at the given side lengths 9, 16 and 25, you see that this is 32, 42 and 52, which could be easily confused. 9 + 16 = 25, so 3, 4 and 5 do constitute a Pythagorean triple.
Can 9 16 25 make a right triangle?
Since 149≠144 149 ≠ 144 , the three sides do not form a right triangle.
Is 7 10 12 a right triangle?
So (15,20,25) is a Pythagorean triplet.
Is 15 20 25 a Pythagorean triple?
∴ The Pythagorean triplet is 12, 35, 37.
Is 12 a Pythagorean triple?
Hence, the given set of integers satisfies the Pythagoras theorem, (5, 12, 13) is a Pythagorean triples.
Is 5 12 and 13 a Pythagorean triplet?
The 30-60-90 triangle rule is for finding the the lengths of two sides when one side is given. The shorter side is opposite the 30 degree angle, the longer side is opposite the 60 degree angle, and the hypotenuse is opposite the 90 degree angle.
What is the 30 60 90 triangle rule?
Answer: No 5 7 9 isn't a Pythagorean template. because square of 5 and 7= 25+49=74 and square of 9 is 81. that's why 5 7 9 is not a Pythagorean triplate.
Why 5 7 9 is not a Pythagorean triplet?
Here, the sum of the squares of two numbers is not equal to the square of the third number and thus they do not form a Pythagorean triplet.
Is 5 12 14 a Pythagorean triplet?
The square of the largest number is equal to the sum of the squares of the other two numbers. ∴ (5, 12, 13) is a pythagorean triplet.
Is 12 13 a Pythagorean triplet?
In Option c): 92 + 122 = 81 + 144 = 225 = 152 which means 9, 12 and 15 is a Pythagorean triple.
How do you find the Pythagorean triplet of 9 12 15?
8, 15, 17 is a Pythagorean triplet.
Is 15 17 a Pythagorean triplet?
is a Pythagorean triple are shown above for successively larger bounds. always odd. In addition, one side of every Pythagorean triple is divisible by 3, another by 4, and another by 5. One side may have two of these divisors, as in (8, 15, 17), (7, 24, 25), and (20, 21, 29), or even all three, as in (11, 60, 61).
Is 8 15 17 a Pythagorean triplet Why?
1 Expert Answer
14^2=196 and 9^2+12^2=81+144=225 so the triple (9,12,14) does not form a right angle triangle.
Does 9 12 and 14 make a triangle?
There is a property with triangles that sum of two sides of triangle should always be greater than the 3rd side. Here if we take the two smaller sides their sum is 7 + 8 = 15 which is equal to the third side. So it is not possible to construct a triangle with sides 7, 8 and 15 respectively.
Can 15 8 7 make a triangle?
SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since, , you can not form a triangle with side lengths 4 ft, 9 ft, 15 ft.
Could 9 4 and 15 form a triangle?
Yes, 5 12 and 13 make a right triangle. They are referred to as Pythagorean triplets, where 5 squared and 12 squared equal 13 squared, which is the application of the Pythagorean theorem.
Is a 5 12 13 triangle possible?
11.5, 10.5, 6.1: This is a triangle as the sum of any two sides is greater than the third side. 9.5, 3.5, 4.5: This is not a triangle as the sum of 3.5 and 4.5 is less than 9.5, that is, the sum of two sides is not greater than the third side.
Can 11.5 10.5 and 6.1 make a triangle?
1 Expert Answer
But here their sum is less than the 3rd side, making a triangle impossible. There is no way to connect 3 sides with those lengths into a triangle.
Can 5 6 and 13 make a triangle?
So the given triangle is an obtuse angle triangle. Hence, the given sides represents an obtuse angle triangle.
What kind of triangle is 5 9 12?
No. Any two sides must sum to greater than the third or it's not a triangle. In this case 6 + 7 is less than 14.
Can 14 6 7 make a triangle?
1 Expert Answer
So, (6,8,11) is not a right triangle as the hypotenuse is too long.
Can 6 8 11 make a triangle?
Using the Pythagorean Theorem (the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides), we add the squares of 5 (25) and 7 (49) to get 74. 81 > 74, so not a right triangle. A triangle has sides with lengths of 9 km, 11 km, and 15 km.
Does 11 12 15 make a right triangle?
The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse. Therefore, 10, 12, and 15 are not the side lengths of a right triangle.
Is 10 12 15 a right triangle?
Final answer: By applying the Pythagorean Theorem, we learn that the Triangle with sides 11, 12, and 15 isn't a right-angled triangle because the sum of the squares of the two shorter sides isn't equal to the square of the hypotenuse.
Is 11 12 15 a right triangle?
Can 9 6 15 be a triangle?
Can 11 12 9 make a triangle?
Is 15 17 8 a right triangle?
Does 10 15 12 make a right triangle?
The only condition for three sides to be able to form a triangle is that no single side may be larger than (or equal to) the other two combined. Since the largest side, 12, is less than the sum of 9 and 11, there's no problem.
Does 11 12 15 make a right triangle?
The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse. Therefore, 10, 12, and 15 are not the side lengths of a right triangle.
Can 12 2.2 14.3 make a triangle?
Using the Pythagorean Theorem (the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides), we add the squares of 5 (25) and 7 (49) to get 74. 81 > 74, so not a right triangle. A triangle has sides with lengths of 9 km, 11 km, and 15 km.