Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
b =
centimeters

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Here \(a = 72\), \(c = 75\), and we need to find \(b\). So \(b^2=c^2 - a^2\).

Step2: Substitute values

$$b^2=75^2 - 72^2$$
$$b^2 = 5625-5184$$
$$b^2=441$$

Step3: Solve for \(b\)

$$b=\sqrt{441}$$
$$b = 21$$

Answer:

\(21\)