math
posted by AnnaMarie .
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

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