Question

please help!


Given Δ R S T is similar to Δ U V W with RT = 9 inches, UW = 5.4 inches, and RS = 6 inches.

Which is the length of
¯¯¯¯¯¯
U
V
?

A.
3.6 inches

B.
2.4 inches

C.
8.1 inches

D.
4 inches

Answer 1

Find the scale of the known sides:

RT is similar to UW

5.4 /9 = 0.6

The smaller triangle is 0.6 times the larger one.

Multiply the length of RS to find UV:

6 x 0.6 = 3.6

The answer is A. 3.6 inches.