Answer:
The scale factor from the smaller triangle to the larger triangle is 1.25.
Step-by-step explanation:
We are not told which sides are corresponding sides, but we can find out since we are told the triangles are similar.
The lengths of the sides of the left triangle are 4, 6, 8.
The lengths of the sides of the right triangle are 5, 7.5, 10.
Since we know the triangles are similar, then when we write the lengths of the sides of both triangles in the same order, increasing order, then the corresponding sides match.
4 corresponds to 5.
6 corresponds to 7.5.
8 corresponds to 10.
Divide a side length by a corresponding side length to find the scale factor.
5/4 = 1.25
If you do the other divisions, you'll get the same result.
7.5/6 = 1.25
10/8 = 1.25
Proving the scale factor 1.25 is correct.
Answer: The scale factor from the smaller triangle to the larger triangle is 1.25.
