Given: FGH and FJH are right triangles, GH JH

Prove: FGH ≅ FJH

Proved

Step-by-step explanation:

Given

FGH and FJH

Required

Prove: FGH ≅ FJH

Let the hypotenuse of both triangles be FG and FJ respectively.

In FGH:

---- (1)

In FJH

Substitute GH for JH

--- (2)

By comparison: (1) = (2)

i.e.

This implies that: FGH ≅ FJH

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)