Question

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 fraction in simplest form.
(there are two triangles, the lower one with sides labeled 95, 95 and the upper one with sides labeled 38, 38. buttons for show examples, watch video, and submit answer are present.)

Explanation:

Step1: Find corresponding sides

Left triangle leg = 38, right triangle leg = 95

Step2: Calculate scale factor

Scale factor = $\frac{38}{95}$

Step3: Simplify the fraction

Divide numerator and denominator by 19: $\frac{38÷19}{95÷19} = \frac{2}{5}$

Answer:

$\frac{2}{5}$