Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+8^{2}=9^{2}$$

Step2: Simplify the equation

$$a^{2}=9^{2}-8^{2}$$
$$a^{2}=81 - 64$$
$$a^{2}=17$$

Step3: Solve for \(a\)

$$a=\sqrt{17}\approx 4.1$$

Answer:

\(4.1\)