Question

find the missing side length (include units). round to the nearest hundredth, if necessary. 15 yd 8 yd 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 \(c=x\). So \(x=\sqrt{8^{2}+15^{2}}\).

Step2: Calculate squares

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

Step3: Find square root

\(x=\sqrt{289}=17\) yd

Answer:

17 yd