Question

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.
(images of two triangles: left triangle with side length 9, right triangle with side length 45/4)
answer attempt 1 out of 2
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Explanation:

Step1: Define scale factor formula

Scale factor = $\frac{\text{Scaled side length}}{\text{Original side length}}$

Step2: Substitute given values

Original side = 9, Scaled side = $\frac{45}{4}$
Expression: $\frac{\frac{45}{4}}{9}$

Step3: Simplify the fraction

Rewrite division as multiplication by reciprocal: $\frac{45}{4} \times \frac{1}{9} = \frac{45}{36}$
Simplify to lowest terms: $\frac{5}{4}$

Answer:

$\frac{5}{4}$