Question

Pply the converse of the pythagorean theorem to determine if it's a right triangle. Is the triangle a right triangle? No, 92+402=412. No, 9 squared + 40 squared not-equals 41 squared Yes, 92+402=412. Yes, 9 squared + 40 squared not-equals 41 squared

Answer 1

C, Yes, 92+402=412.

Explanation:

Answer 2

Yes, 9^2+40^2=41^2

Explanation:

From the Pythagoras’ theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

From what we have , the side lengths are 9, 40 and 41

As we can see, 41 is the longest side length and that makes it the hypotenuse

The square of the two other sides is 40^2 + 9^2 = 1,681

Also, 41^2 = 1,681

As we can see, the sum of the squares equal the square of the hypotenuse

Since this follows the theorem, we can conclude that the triangle is a right triangle