Question

Which best explains why this triangle is or is not a right triangle?

Answer 1

Answer:

It is a right triangle.

Step-by-step explanation:

By the  Inverse Pythagoras Theorem if 39^2 = 36^2 + 15^2  then it is a right triangle.

39^2 = 1521

36^2 + 15^2 = 1296 + 225 = 1521.

So it is a right triangle.

Answer 2

Based on the converse of the Pythagorean Theorem, the triangle with the following side lengths is a right triangle.

What is the Converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem states that a triangle is a right triangle if the sum of the squares of two of its legs are equal to the square of the length of the longest side (hypotenuse).

The longest side in the triangle is 39 in. Therefore:

39² = 36² + 15²

1,521 = 1,521

Based on this, we can conclude that the triangle given is a right triangle.

Learn more about the converse of the Pythagorean Theorem on:

https://brainly.com/question/9676498

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