Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 4\), \(c = 5\), find \(b\).

Step2: Substitute values into the formula

$$4^{2}+b^{2}=5^{2}$$
$$16 + b^{2}=25$$

Step3: Solve for \(b^{2}\)

$$b^{2}=25 - 16$$
$$b^{2}=9$$

Step4: Find \(b\)

$$b=\sqrt{9}$$
$$b = 3$$

Answer:

\(3\)