Question

Given that the legs of a right triangle measure a and b and the hypotenuse of the triangle measures c, what does the Pythagorean Theorem state about the sides of this triangle? a2 + c2 = b2 a2 − b2 = c2 2a + 2b = 2c a2 + b2 = c2

Answer 1

The Pythagorean Theorem is a^2+b^2 = c^2 which can be written as
`a^2 + b^2 = c^2`

The longest side (c) is always on its own side. This says "the squares of 'a' and 'b' add up to the square of 'c' "

Answer 2

`c^2=a^2+b^2`

Explanation:

The legs of a right angle triangle measure 'a' and 'b'

Hypotenuse of the triangle measures 'c'

Pythagorean theorem states that square of the hypotenuse is equal to the sum of the squares of each leg

sum of the squares of each leg is
`a^2+b^2`

This is equal to the square of the hypotenuse c^2

`c^2=a^2+b^2` is the Pythagorean theorem