Question

2. In the figure, △ABC ~ △DEF. Solve for x.

A.x=4
B.x=5
c.X=7.2
D.x=12

Answer 1

Since they are equal, you can use ratios to figure out the length of x. Side a is 24 and side c 20. And side d is 6 and side f is x. Since side a and d correspond and side c and f correspond we can create our ratio as such. a/c = d/f, subin in values:\[\frac{ a }{ c }=\frac{ d }{ f } \rightarrow \frac{ 24 }{ 20 } = \frac{ 6 }{ x } \rightarrow 24 =\frac{ 120 }{ x } \rightarrow x = \frac{ 120 }{ 24 } = \frac{ 60 }{ 12 } = 5\]
Therefore x = 5