Question

80 m
64 m
b
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = meters
submit

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is hypotenuse, \(a,b\) are legs. Here, \(c = 80\), one leg \(a = 64\), find \(b\). Rearrange formula: \(b=\sqrt{c^2 - a^2}\).

Step2: Substitute values

\(c = 80\), \(a = 64\), so \(b=\sqrt{80^2 - 64^2}\). Calculate \(80^2 = 6400\), \(64^2 = 4096\). Then \(80^2 - 64^2 = 6400 - 4096 = 2304\).

Step3: Take square root

\(b=\sqrt{2304}=48\).

Answer:

48