Question: Find the scale factor from the larger triangle to the smaller triangle, if the two triangles are similar.
A ) 3 : 2 B ) 5 : 4 C ) 6 : 5 D ) 2 : 1
Steps to derive
1 If we multiply the length of one side of the smaller triangle by the scale factor we get the length of the corresponding side of the larger triangle.
2 Dimensions of smaller triangle x scale factor = dimensions of larger triangle
[Substitute the values.] 3 15 x scale factor = 18
[Divide each side by 15.] 4 Scale factor = 1815
[Simplify.] 5 Scale factor = 65 or 6 : 5
6 Scale factor from the smaller triangle to the larger triangle is 6 : 5.
