Question

In the figure, ΔABC ~ ΔDEF. Solve for x.

x = 5

x = 12

x = 4

x = 7.2

Answer 1

I got x=7.2. Am I right?

Answer 2

Ok so we are using the ratio given by the smaller triangle (6) to the larger triangle (20) to give us the relative ratio by which x will be compared to 24.

Does that make sense?

Answer 3

I would cross multiply 6/x by 20/24 right?

Answer 4

so 6:20 reduces to 1:5

So we know that x:24 needs to be a 1:5 ratio.

We can do this the following way.

1 to 5 = x to 24
or