Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 9 yards and b = 40 yards, what is the perimeter? if necessary, round to the nearest tenth.

Explanation:

Step1: Find hypotenuse length

Use Pythagorean theorem $c=\sqrt{a^{2}+b^{2}}$. Substitute $a = 9$ and $b = 40$. So $c=\sqrt{9^{2}+40^{2}}=\sqrt{81 + 1600}=\sqrt{1681}=41$.

Step2: Calculate perimeter

Perimeter $P=a + b + c$. Substitute $a = 9$, $b = 40$ and $c = 41$. So $P=9+40 + 41=90$.

Answer:

90