If the figures below are similar with a scale factor
of 6:5, find the value of x.

Answer:
x = 33.6
Step-by-step explanation:
Formula to be used for the scale factor,
Scale factor = [tex]\frac{\text{Dimension of the big triangle}}{\text{Dimension of the small triangle}}[/tex]
From the figure attached,
Side length of the big triangle = x
Corresponding side length of small triangle = 28
Scale factor = [tex]\frac{6}{5}[/tex]
[tex]\frac{6}{5}=\frac{x}{28}[/tex]
x = [tex]\frac{6\times 28}{5}[/tex]
x = 33.6