Question

for each similar figures, use the given areas to find the scale factor from the first to the second figure. then find x.

Answer 1

Step-by-step explanation

The ratio of the area of two similar triangles is equal to the square of the ratio of any pair of the corresponding sides of the similar triangles.

`\frac{area\text{ 1}}{area\text{ 2}}=\left(s.f\right)^2`

so

Step 1

Let

`\begin{gathered} area1=153\text{\lparen in}^2) \\ area2=272\text{ \lparen in}^2) \end{gathered}`

replace fo find the s.f

`\frac{area\text{ 1}}{area\text{ 2}}=\left(s.f\right)^2`