Question

find u.
17√3 yd
u
45°
45°
write your answer in simplest radical form.
yards

Explanation:

Step1: Identify triangle type

This is a 45 - 45 - 90 triangle, so the legs are equal, and the hypotenuse \(u\) is related to a leg \(l\) by \(u = l\sqrt{2}\). Here, one leg \(l=17\sqrt{3}\) yd.

Step2: Calculate hypotenuse \(u\)

Substitute \(l = 17\sqrt{3}\) into the formula \(u=l\sqrt{2}\).
\(u = 17\sqrt{3}\times\sqrt{2}\)
Using the property \(\sqrt{a}\times\sqrt{b}=\sqrt{ab}\), we get \(u = 17\sqrt{3\times2}=17\sqrt{6}\)

Answer:

\(17\sqrt{6}\)