# math

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One triangle has vertices A, B, and C. Another has vertices T, R, and I. Are the two triangles similar? If so state the similarity and the scale factor.

AB- 6
BC- 8
AC- 10

TR- 10
RI- 7.5
TI- 12.5

• math -

arrange in increasing size order to test corresponding sides

RI = 7.5
TR = 10
TI = 12.5

now if all sides are related by the same scale factor, they are similar
7.5/6 = 1.25
10/8 = 1.25
12.5/10 = 1.25
YES!! the corresponding sides are in the same ratio. They are similar with scale factor 1.25

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