Question

Classify the following triangle as right or not. Explain why it is or is not.

24
27
15

Answer 1

This triangle is not a right triangle.

A right triangle is a triangle that has a right angle (90 degrees).

To check if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

If we apply this theorem to this triangle, we get:

24^2 + 15^2 = 576 + 225 = 801
27^2 = 729

Since 801 is not equal to 729, this triangle does not satisfy the Pythagorean theorem and is not a right triangle.