http://www.ck12.org Chapter 8. Right Triangle Trigonometry
Solution:Use theorem 8-7 to solve forxandy.
20
x=
x
3515
y=
y
35
x^2 = 20 · 35 y^2 = 15 · 35
x=√
20 · 35 y=√
15 · 35
x= 10√
7 y= 5√
21
You could also use the Pythagorean Theorem to solve fory, oncexhas been solved for.
(
10
√
7
) 2
+y^2 = 352
700 +y^2 = 1225
y=√
525 = 5
√
21
Either method is acceptable.
Know What? RevisitedThe average rate of increase can be found by using the geometric mean.
x=√
0. 213 · 0. 16 = 0. 1846
Over the two year period, housing prices increased 18.46%.
Review Questions
Use the diagram to answer questions 1-4.