Question

The triangle represents a scale drawing that was created by using a factor of One-half. A triangle with sides lengths of 5 inches. Which is true of the measures of the sides of the original triangle?

Answer 1

Given:

Scale factor =
`(1)/(2)`

Side lengths of scale drawing = 5 inches.

To find:

The measures of the sides of the original triangle.

Solution:

We know that,

`\text{Scale factor}=\frac{\text{Side length of scale drawing}}{\text{Side length of the original figure}}`

The scale factor is
`(1)/(2)` and the side lengths of scale drawing are 5 inches. So,

`(1)/(2)=\frac{5}{\text{Side length of the original figure}}`

`\text{Side length of the original figure}=5* 2`

`\text{Side length of the original figure}=10`

Therefore, the measures of the sides of the original triangle are 10 inches.