Question

Would appreciate some help! :)

AABC ~ AQRS
Find the missing side length, m.
R
B
15
m
А-
С
4.
s
10
m = [?]
=

Answer 1

Answer: 6

===========================================

Work Shown:

AC/QS = BC/RS

4/10 = m/15

4*15 = 10*m

60 = 10m

10m = 60

m = 60/10

m = 6

The first equation is possible because the triangles are similar. The horizontal sides AC and QS form the ratio AC/QS. This is equal to the ratio of the diagonal sides BC/RS since similar triangles have their sides in proportion.

After the equation is set up, we cross multiply and then solve for m.