Question

l 16 ft n
8 ft
m
?
mn = ____

Explanation:

Step1: Identify the right - triangle formula

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 8\), \(b = 16\), and \(c\) is the hypotenuse \(MN\).

Step2: Substitute values into the formula

\(8^{2}+16^{2}=c^{2}\), so \(64 + 256=c^{2}\), then \(c^{2}=320\).

Step3: Solve for \(c\)

\(c=\sqrt{320}=\sqrt{64\times5}=8\sqrt{5}\approx 17.9\) ft.

Answer:

\(8\sqrt{5}\text{ ft}\approx17.9\text{ ft}\)