Question

show what you know! what is the scale factor between two similar triangles with side lengths 8 and 24? 1:2 1:3 2:3 1:4

Explanation:

Step1: Recall the formula for scale factor

The scale factor of two similar figures is the ratio of the lengths of corresponding sides. If we have two similar triangles with side lengths \(a\) and \(b\) (\(a < b\)), the scale factor from the smaller triangle to the larger triangle is \(\frac{a}{b}\).

Step2: Calculate the scale factor

Here, \(a = 8\) and \(b=24\). The scale factor \(k=\frac{8}{24}\). Simplify the fraction \(\frac{8}{24}=\frac{8\div8}{24\div8}=\frac{1}{3}\).

Answer:

\(1:3\)