Given:
Scale factor = [tex]\dfrac{1}{2}[/tex]
Side lengths of scale drawing = 5 inches.
To find:
The measures of the sides of the original triangle.
Solution:
We know that,
[tex]\text{Scale factor}=\dfrac{\text{Side length of scale drawing}}{\text{Side length of the original figure}}[/tex]
The scale factor is [tex]\dfrac{1}{2}[/tex] and the side lengths of scale drawing are 5 inches. So,
[tex]\dfrac{1}{2}=\dfrac{5}{\text{Side length of the original figure}}[/tex]
[tex]\text{Side length of the original figure}=5\times 2[/tex]
[tex]\text{Side length of the original figure}=10[/tex]
Therefore, the measures of the sides of the original triangle are 10 inches.
