Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 5 yards and c = 6 yards, what is the perimeter? if necessary, round to the nearest tenth. yards

Explanation:

Step1: Find length of leg b

Use Pythagorean theorem $b=\sqrt{c^{2}-a^{2}}$. Substitute $a = 5$ and $c = 6$.
$b=\sqrt{6^{2}-5^{2}}=\sqrt{36 - 25}=\sqrt{11}\approx3.3$

Step2: Calculate perimeter

Perimeter $P=a + b + c$. Substitute $a = 5$, $b\approx3.3$, and $c = 6$.
$P=5+3.3 + 6=14.3$

Answer:

$14.3$