Question

find the length of the third side. if necessary, round to the nearest tenth.
16
18

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 16\), \(c = 18\), find \(b\).

Step2: Rearrange formula

$$b=\sqrt{c^{2}-a^{2}}$$

Step3: Substitute values

$$b=\sqrt{18^{2}-16^{2}}=\sqrt{(18 + 16)(18 - 16)}=\sqrt{34\times2}=\sqrt{68}$$

Step4: Calculate value

$$\sqrt{68}\approx8.2$$

Answer:

\(8.2\)