Question

problem 3b
these two triangles are scaled copies of each other.
on the previous screen, you said the scale factor is 2.5.
what is the value of a?

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ between two similar triangles is the ratio of corresponding side - lengths. If the scale factor $k = 2.5$, and we know that $\frac{\text{side in larger triangle}}{\text{side in smaller triangle}}=k$.

Step2: Set up the proportion for side $a$

We have the proportion $\frac{30}{a}=2.5$.

Step3: Solve for $a$

We can rewrite the equation as $a=\frac{30}{2.5}$. Then $a = 12$.

Answer:

12