Question

part of a roof truss forms a right triangle with legs that are 5 feet and 8 feet long. how long is the lumber for the hypotenuse of that triangle? 89 feet between 6 and 7 feet between 9 and 10 feet 13 feet

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse = $c$, legs = $a=5$, $b=8$. Formula: $c^2 = a^2 + b^2$

Step2: Calculate squares of legs

$a^2 = 5^2 = 25$, $b^2 = 8^2 = 64$

Step3: Sum squares and find root

$c^2 = 25 + 64 = 89$, so $c = \sqrt{89} \approx 9.43$

Answer:

Between 9 and 10 feet