Help please! I will give Brainliest to most detailed answer:)

The figure shows three right triangles. Triangles JKM, KLM, and JLK are similar.
Theorem: If two triangles are similar, the corresponding sides are in proportion.

Using the given theorem, which two statements help to prove that if segment JL is x, then x^2 = 100?

1.) Segment JL • segment JM = 64
Segment JL • segment LM = 48

 2.)Segment JL • segment JM = 48
Segment JL • segment LM = 36

 3.)Segment JL • segment JM = 64
Segment JL • segment LM = 36

 4.)Segment JL • segment JM = 36
Segment JL • segment LM = 64

*If you can, could you please give an explanation? Thanks.

Help please I will give Brainliest to most detailed answer The figure shows three right triangles Triangles JKM KLM and JLK are similar Theorem If two triangles class=

Respuesta :

Now, the way I got those proportions is something called geometric means. A geometric mean between two numbers a and b is defined 
Whenever you have a situation like this where you have the three similar right triangles with 2 of them within the bigger one, there are three relationships of "geometric means" that are extremely helpful (they are just similar triangles, so you can derive them later too).
I don't want to make this too hard for you the answer is 
D.Segment JL x segment JM = 36 Segment JL x segment LM = 64