Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 40 yards and b = 30 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 $a = 40$ and $b = 30$: $c=\sqrt{40^{2}+30^{2}}=\sqrt{1600 + 900}=\sqrt{2500}=50$.

Step2: Calculate perimeter

Perimeter $P=a + b + c$. Substitute $a = 40$, $b = 30$, and $c = 50$: $P=40+30 + 50=120$.

Answer:

120 yards