McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Mid-Chapter Quiz
Continue to next subchapter

Exercise 16 Page 661

Notice that the given figure is a 30^(∘)-60^(∘)-90^(∘) triangle.

x=14, y=28

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 longer leg is sqrt(3) times the length of the shorter leg.
14sqrt(3)=sqrt(3) * x
Solve for x
14=x
x=14
We found that the measure of the shorter leg is 14. Also, in a 30^(∘)-60^(∘)-90^(∘) triangle, the hypotenuse is 2 times the length of the shorter leg. y= 2 * 14 ⇔ y=28