the two triangles below are similar. what is the similarity ratio of ΔABC to ΔXYZ?

The two triangles below are similar. What is the similarity ratio of ΔABC to ΔXYZ?

1:2

2:1

3:2

2:3

ANSWER :

we know that

If the ΔABC and ΔXYZ are similar. then the  corresponding sides of the triangles are proportional

we have

AC = 15 UNITS

XZ = 10 UNITS

Find the ratio

AC/XZ

substitute the values

15/10

Simplify Divide by  both numerator and denominator

15/10 X 3/2

therefore

the answer is

3:2

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