Question

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

A. 5.6

B. 5.7

C. 5.8

D. 5.5

Answer 1

5.7

Explanation:

The following ratios are equal

`(DC)/(HG)` =
`(BC)/(FG)`, substitute values

`(3)/(4)` =
`(BC)/(7.6)` ( cross- multiply )

4BC = 3 × 7.6 = 22.8 ( divide both sides by 4 )

BC = 5.7