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 \(a^{2}+b^{2}=c^{2}\). Here \(a = 2\), \(b=x\), \(c = 4\). So \(2^{2}+x^{2}=4^{2}\).

Step2: Solve for \(x\)

\(x^{2}=4^{2}-2^{2}\)
\(x^{2}=16 - 4\)
\(x^{2}=12\)
\(x=\sqrt{12}\approx3.5\)

Answer:

\(3.5\)