Question

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.

Answer 1

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

We have then:

`image`

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.

Answer:

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

Answer 2

C. In a right triangle, the square of the hypotenuse equals the sums of the squares of the legs.

pythagorean theorem: a^2 + b^2 = c^2, where the hypotenuse = c and the legs are a and b. i hope this helps you!