Question

find the length of the third side. if necessary, write in simplest radical form.
answer

Explanation:

Step1: Apply Pythagorean theorem

Let the third side (height) be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 10\) (hypotenuse) and \(b=4\) (one of the legs). So \(x^{2}+4^{2}=10^{2}\).

Step2: Solve for \(x\)

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Answer:

\(2\sqrt{21}\)