Page 141 - Math Course 3 (Book 2)

Proportional Relationships of Similar Triangles

BF = AC Solve Problems with Similar Triangles
EC GD Write a proportion. The drawing below illustrates the legs, AC and
30 = 80 BF = 30, EC = x, AC = 80, GD = 40. CG of a table. The top of the legs are fastened so
x 40 that AC measures 12 inches while the bottom of
30(40) = 80 • x Cross products. the legs open such that GE measures 36 inches. If
BD measures 7 inches, what is the height h of the
table?
1200 = 80x Simplify.
A B C
15 = x Divide each side by 80.
A. 10.5 in
B. 61.7 in D
C. 21 in
Answer The height of the pole is 15 feet. D. 28 in h

Your Turn! G F E

Medians of Similar Triangles Answer

In figure, △ABD ~ △MNP. AC is an angle bisector
of △ABD and MO is an angle bisector of △MNP.
Find x if AC = 5, AB = 7 and MO = 12.5.

M

A

x

D C B P O N

A. 2.8
B. 17.5
C. 3.9
D. 0.96

Answer

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