Question

consider this right triangle. find the exact length of the missing side.

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Let the missing side (hypotenuse) be \(c\), \(a = 7\), \(b=3\). Then \(c^{2}=7^{2}+3^{2}\).

Step2: Calculate \(c^{2}\)

\(c^{2}=49 + 9=58\).

Step3: Solve for \(c\)

\(c=\sqrt{58}\).

Answer:

\(\sqrt{58}\)