Question

triangle b is a scaled copy of triangle a. what scale factor takes triangle a to triangle b?

Explanation:

Step1: Recall scale - factor formula

The scale factor from triangle A to triangle B for corresponding sides is given by $\frac{\text{length of side in B}}{\text{length of corresponding side in A}}$. We can use any pair of corresponding sides. Let's use the base - sides.

Step2: Calculate the scale factor

The base of triangle A is 12 and the base of triangle B is 15. The scale factor $k=\frac{15}{12}$. Simplifying $\frac{15}{12}$ by dividing both the numerator and denominator by 3, we get $k = \frac{5}{4}=1.25$.

Answer:

$1.25$