Question

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. Let \(a = 12\), \(c=15\), and we need to find \(b\). Then \(b^{2}=c^{2}-a^{2}\).

$$b^{2}=15^{2}-12^{2}$$

$$b^{2}=225 - 144$$

$$b^{2}=81$$

Step2: Solve for \(b\)

Take the square root of both sides. Since \(b>0\) (length of a side), \(b=\sqrt{81}\)

Answer:

\(9\)