Which of the following states the pythagorean theorem? a. in a right triangle, the hypotenuse equals the sum of the squares of the legs. b. in a right triangle, the square of the hypotenuse equals the sum of the legs. c. in a right triangle, the square of the hypotenuse equals the sum of the squares of the legs. d. in a right triangle, the hypotenuse equals the sum of the legs.

For this case, the first thing to do is write the Pythagorean theorem for a rectangular triangle.

We have then:

Where,

a, b: sides of the rectangle triangle

c: hypotenuse of the triangle rectangle

Therefore, based on the definition we have to:

The sum of the square of the sides of the right triangle is equal to the square of the hypotenuse.

c. in a right triangle, the square of the hypotenuse equals the sum of the squares of the legs