Page 107 - Math Course 3 (Book 2)

Similar Triangles

1 m Find Missing Measures
53.6 cm = 53.6 cm( ) 1 m = 100 cm
100 cm Find the missing measure if △WXV ~ △WUV
= 0.536 m Simplify.
Let x = the height of the tree. W

Richard’s Richard’s 6 mm
shadow → 0.536 2 ← height 16 mm
=
Tree’s → 22.5 x ← X Z
shadow Tree’s height 14 mm
0.536x = 45 Cross products
x ≈ 83.96
U V

A. 5.25
The tree is about 84 meters B. 6
Answer
tall. C. 16
D. 14

Your Turn! Answer

Determine Whether Two Triangles Are Similar Real World Example
Determine whether the pair of triangles is similar. TOURISM
Trudie is standing next to the Eiffel Tower in
France. The height of the Eiffel Tower is 317 me-
N S ters and casts a shadow of 155 meters. If Trudie’s
height is 2 meters, how long is her shadow?
420
A. 2 m
420 B. 0.98 m
M O R 960 T C. 3.2 m
D. 1.45 m
A. The triangles are similar.
B. The triangles are not similar.
C. cannot be determined

Answer Answer

Find Missing Measures

Find the missing measures if the pair of triangles is similar.
A. 14 and 28
B. 6 and 42
C. 18 and 28 M P
D. 18 and 42 14 740 42 740

Answer L 320 6 O 320 x

14 740 y 740
N
Q

99