Question

if the legs of a right triangle are 16 and 63, what is the length of the hypotenuse?

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$, where \(a = 16\), \(b=63\), \(c\) is hypotenuse.

Step2: Calculate \(a^{2}+b^{2}\)

\(16^{2}+63^{2}=256 + 3969=4225\)

Step3: Find \(c\)

\(c=\sqrt{4225}=65\)

Answer:

65