Question

Robert needs to know if the triangle shown is a right triangle. Which equation could he use to help? A. 36+ 25= 49B. 25 + 36 = 49 C. 25 2 + 36 2 = 49 2 D. 36 2 –25 2 = 49 2

Answer 1

C. 25² + 36² = 49²

Explanation:

We use the Pythagoras theorem to determine if the triangle is a right angle triangle. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In geometry, hypotenuse is the longest side in a right angle triangle. This means it would have the highest number.

A. 36+ 25= 49

This is wrong because the theorem deal with the sum of the squares of the other two sides.

B. 25 + 36 = 49

This is wrong because the theorem deal with the sum of the squares of the other two sides.

C. 25² + 36² = 49²

This is correct as it matches the theorem.

D. 36² –25² = 49²

This is wrong because the theorem deal with the sum of the squares of the other two sides and not their difference.