Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\). Let \(a = 2\), \(c = 4\), and we want to find \(b\). Then \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

Substitute \(a = 2\) and \(c = 4\) into the formula: \(b^{2}=4^{2}-2^{2}\).

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Step3: Solve for \(b\)

Take the square root of both sides: \(b=\sqrt{12}\approx3.5\)

Answer:

\(3.5\)