Question

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

(image of two triangles: left triangle with side lengths 19, 19; right triangle with side lengths 57/2, 57/2)

Explanation:

Step1: Define scale factor formula

Scale factor = $\frac{\text{Length of scaled side}}{\text{Length of original side}}$

Step2: Substitute given side lengths

Scale factor = $\frac{\frac{57}{2}}{19}$

Step3: Simplify the fraction

$\frac{\frac{57}{2}}{19} = \frac{57}{2 \times 19} = \frac{3}{2}$

Answer:

$\frac{3}{2}$