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What is the length of Line segment A C?

What is the length of Line segment A C?-example-1
User MKP
by
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2 votes

Answer:

12

Explanation:

The triangles are similar because they have the same angles.

Make a proportion to solve for AC which we will substitute with variable x.

AM = MB = 4

AB = AM + MB = 8

BN = NC = 3

BC = BN + NC = 6

big triangle sides: 8, 6, x

small triangle sides: 4, 3, 6

now we can write proportion.

8/4 = x/6

x = 12

AC = 12

User Rudra
by
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