Question

hagorean theorem. round
3)
uw =

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Let \(a = UW\), \(b = UV=6\) ft, \(c = VW = 9\) ft. Then \(a^{2}+6^{2}=9^{2}\), so \(a^{2}=9^{2}-6^{2}\).

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

\(a^{2}=81 - 36=45\).

Step3: Solve for \(a\)

\(a=\sqrt{45}\approx6.7\) ft.

Answer:

\(6.7\) ft