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 \(a\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 26\) (hypotenuse) and \(b = 24\). So \(a^{2}=c^{2}-b^{2}\).

Step2: Substitute values

Substitute \(c = 26\) and \(b = 24\) into the formula: \(a^{2}=26^{2}-24^{2}\).

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Step3: Solve for \(a\)

Take the square root of both sides: \(a=\sqrt{100}=10\)

Answer:

\(10\)