Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 4 meters and b = 5.2 meters, what is the perimeter? if necessary, round to the nearest tenth. meters

Explanation:

Step1: Find hypotenuse length

Use Pythagorean theorem $c=\sqrt{a^{2}+b^{2}}$, where $a = 4$ and $b = 5.2$. So $c=\sqrt{4^{2}+5.2^{2}}=\sqrt{16 + 27.04}=\sqrt{43.04}\approx6.6$

Step2: Calculate perimeter

Perimeter $P=a + b + c$. Substitute $a = 4$, $b = 5.2$ and $c\approx6.6$. Then $P=4 + 5.2+6.6 = 15.8$

Answer:

$15.8$