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.
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attempt 3 out of 5
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Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from the original figure to the scaled - copy is given by $k=\frac{\text{corresponding side length in scaled copy}}{\text{corresponding side length in original}}$.

Step2: Identify corresponding side lengths

The side length of the original triangle is $17$, and the corresponding side length of the scaled - copy triangle is $\frac{51}{2}$.

Step3: Calculate the scale factor

$k = \frac{\frac{51}{2}}{17}=\frac{51}{2}\times\frac{1}{17}=\frac{51}{34}=\frac{3}{2}$

Answer:

$\frac{3}{2}$