Question

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

Explanation:

Step1: Apply Pythagorean theorem

Let the third side be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 4\), \(a=2\), and \(b=x\). So \(2^{2}+x^{2}=4^{2}\).

Step2: Simplify the equation

\(4 + x^{2}=16\). Then \(x^{2}=16 - 4=12\).

Step3: Solve for \(x\)

\(x=\sqrt{12}\approx3.5\)

Answer:

\(3.5\)