Exercise 4 Page 644

Notice that the given right triangle has a marked angle measuring 60^(∘). Therefore, by the Triangle Angle Sum Theorem the measure of the third angle must be 30^(∘).

In a 30^(∘)-60^(∘)-90^(∘) triangle, the hypotenuse is 2 times the length of the shorter leg.

We found that the measure of the shorter leg is 8sqrt(3). Also, in a 30^(∘)-60^(∘)-90^(∘) triangle, the longer leg is sqrt(3) times the length of the shorter leg. x=sqrt(3) * 8sqrt(3) Finally, we can find the simplest expression for x.