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 www.clickanswer.us

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

1:2

2:1

3:2

2:3

similarity ratio of ΔABC to ΔXYZ www.clickanswer.us

ANSWER :

we know that

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

        AB/XY = BC/YZ = AC/XZ

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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