Question

what is the length of the unknown leg in the right triangle?

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a,b\) are the legs. Let \(a = 20\) (one leg), \(c=25\) (hypotenuse), and \(b\) be the unknown leg. Then \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

Substitute \(a = 20\) and \(c = 25\) into the formula: \(b^{2}=25^{2}-20^{2}\).

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Step3: Solve for \(b\)

Take the square root of both sides: \(b=\sqrt{225}\). Since \(b>0\) (length), \(b = 15\).

Answer:

\(15m\)