Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 2.9 units and b = 0.7 units, what is the perimeter? if necessary, round your answer to the nearest tenth.

Explanation:

Step1: Use Pythagorean theorem to find hypotenuse

According to the Pythagorean theorem $c=\sqrt{a^{2}+b^{2}}$, substituting $a = 2.9$ and $b = 0.7$, we have $c=\sqrt{2.9^{2}+0.7^{2}}=\sqrt{8.41 + 0.49}=\sqrt{8.9}$.

Step2: Calculate the perimeter

The perimeter $P=a + b + c$, substituting $a = 2.9$, $b = 0.7$ and $c=\sqrt{8.9}$, we get $P=2.9+0.7+\sqrt{8.9}=3.6+\sqrt{8.9}\approx3.6 + 2.98\approx6.6$.

Answer:

$6.6$