Question

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

Answer 1

Answer:

x = 33.6

Step-by-step explanation:

Formula to be used for the scale factor,

Scale factor = $\frac{\text{Dimension of the big triangle}}{\text{Dimension of the small triangle}}$

From the figure attached,

Side length of the big triangle = x

Corresponding side length of small triangle = 28

Scale factor = $\frac{6}{5}$

$\frac{6}{5}=\frac{x}{28}$

x = $\frac{6\times 28}{5}$

x = 33.6