Question

Which of the following is the Pythagorean Theorem?

A. In an obtuse triangle, the sum of the squares of the leg lengths is less than the square of the hypotenuse length.

B. In a right triangle, the sum of the squares of the leg lengths is less than the square of the hypotenuse length.

C. In an obtuse triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.

D. In a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.

Answer 1

D

Explanation:

D. In a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.

a p e x

Answer 2

D. In a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.

Explanation:

Pythagorean Theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

It can be denoted as :
`a^(2)+b^(2) =c^(2)`

where c is the hypotenuse.

So, here option D is correct.