Question

1. find the missing side of each right triangle. round your answers to the nearest tenth, if necessary.

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(c = 15\), \(b=12\), and we need to find \(a\). So, \(a^{2}+12^{2}=15^{2}\).

Step2: Simplify the equation

\(a^{2}+144 = 225\). Then, \(a^{2}=225 - 144\).

Step3: Calculate \(a^{2}\)

\(a^{2}=81\).

Step4: Find \(a\)

\(a=\sqrt{81}=9\).

Answer:

\(9\)