Question

find the value of x.

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(a = 8\), \(b = 15\), and \(x\) is the hypotenuse. So \(x^{2}=8^{2}+15^{2}\).

Step2: Calculate squares

\(8^{2}=64\) and \(15^{2}=225\). Then \(x^{2}=64 + 225=289\).

Step3: Find the square - root

Since \(x^{2}=289\), then \(x=\sqrt{289}=17\).

Answer:

17