Given that ABC ~ EFG, if FG = 7.6 what is the length of BC?

Solution:

Given, triangle ABC and triangle EFG are similar.

We have to find the length of BC if FG = 7.6

Using ratio of similar triangles,

DC/HG = BC/FG

From the figure,

DC = 3

HG = 4

Substituting the values,

3/4 = BC/7.6

On cross multiplication,

4BC = 3(7.6)

4BC = 22.8

BC = 22.8/4

BC = 5.7

Therefore, the length of BC is 5.7 units.

Given that ABC ~ EFG, if FG = 7.6 what is the length of BC ?

Summary:

Given that ABC ~ EFG, if FG = 7.6, the length of BC is 5.7 units.