Chapter 6.2, Problem 1AYU

In a right triangle, with legs $a$ and $b$ and hypotenuse $c$, the Pythagorean Theorem states that _______. (p. A14)

To determine

To fill: In a right triangle, with legs $a$ and $b$ and hypotenuse $c$, the Pythagorean Theorem states that __________.

Answer to Problem 1AYU

$c^2=a^2+b^2$

Explanation of Solution

In a right triangle, the sum of the squares of the lengths of each of the triangle’s legs is the same as the square of the length of the triangle’s hypotenuse.

Therefore $c^2=a^2+b^2$.