Question

find the length of the third side. if necessary, round to the nearest tenth. 13 9

Explanation:

Step1: Use Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 9\), \(c = 13\), and we need to find \(b\).

Step2: Rearrange the formula

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

Step3: Substitute values

$$b=\sqrt{13^{2}-9^{2}}=\sqrt{169 - 81}=\sqrt{88}$$

Step4: Calculate the value

$$\sqrt{88}\approx9.4$$

Answer:

\(9.4\)