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Exam

AABC ~ AQRS
Find the missing side length, m.
B
10
m
А
6
9
m = [?]

Exam AABC ~ AQRS Find the missing side length, m. B 10 m А 6 9 m = [?]-example-1
User BoomZilla
by
4.6k points

1 Answer

0 votes

Answer:

m = 15

Explanation:

Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:

QR/AB = QS/AC

QR = m

AB = 10

QS = 9

AC = 6

Plug in the values

m/10 = 9/6

m/10 = 3/2

Cross multiply

2*m = 3*10

2m = 30

m = 30/2

m = 15

User Ethan Hermsey
by
4.4k points