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Two similar isosceles triangles are shown beside one another, triangle A B C and triangle X Z Y. Triangle A B C is larger. Vertices A and X are at the top of their respective triangles. Corresponding vertices are A and X, B and Z and C and Y. Triangles A B C and X Z Y are labeled counterclockwise from the top. Side B C is labeled 12. Side X Z is labeled 6. Side Z Y is labeled 4.

If the scale factor of these two similar triangles is 3, what is the measure of line AB?

(1 point)
Responses

22
22

18
18

24
24

48
48
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1 answer

The measure of side AB in triangle A B C is 24.

This can be calculated by multiplying the scale factor of 3 by the length of side XZ which is 6.

3 x 6 = 18

Therefore, the length of AB is 24.
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