Question

the right triangle on the right is a scaled copy of the right triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.

Explanation:

Step1: Pick corresponding sides

Take right side lengths: left triangle $5$, right triangle $\frac{15}{2}$

Step2: Calculate scale factor

Divide new length by original length: $\frac{\frac{15}{2}}{5}$

Step3: Simplify the fraction

$\frac{15}{2} \times \frac{1}{5} = \frac{15}{10} = \frac{3}{2}$
(Verify with base sides: $\frac{18}{12} = \frac{3}{2}$, same result)

Answer:

$\frac{3}{2}$