Question

Can someone help with this and explain answer please.

Answer 1

The answer should be 18 as they are similar triangles.
So I did this.
I took the 24/52 as the are similar triangles
The took that decimal and multiplyed it by 39 to get 18

Answer 2

Because the triangles are similar the ratio of all the sides would be the same. So you need to find the ratio of the common sides and then use that ratio to find the unkown side.

In this picture sides FG = 52, FV would be the same side and is 24.

Dividing 24/52 = 0.461, so the unkown side WV would be 0.444 of it's common side HG.

HG = 39

39 * 0.461= 18.

The answer is C. 18