Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
b = meters

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here \(a = 15\), \(c=25\), and we need to find \(b\). So \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

\(b^{2}=25^{2}-15^{2}\).
\(b^{2}=625 - 225\).
\(b^{2}=400\).

Step3: Solve for \(b\)

Take the square root of both sides. \(b=\sqrt{400}\).

Answer:

\(20\)