Question: If the lengths of the sides of a triangle are 9, 12, and 15, is it a right triangle?
Options:
Yes
No
It depends
Cannot be determined
Correct Answer: Yes
Solution:
Check using the Pythagorean theorem: 15² = 9² + 12², 225 = 81 + 144, 225 = 225. It is a right triangle.
If the lengths of the sides of a triangle are 9, 12, and 15, is it a right trian
Practice Questions
Q1
If the lengths of the sides of a triangle are 9, 12, and 15, is it a right triangle?
Yes
No
It depends
Cannot be determined
Questions & Step-by-Step Solutions
If the lengths of the sides of a triangle are 9, 12, and 15, is it a right triangle?
Pythagorean Theorem – A mathematical principle that states in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Triangle Inequality Theorem – A principle that states the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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