Answer:
Proved
Step-by-step explanation:
Given
FGH and FJH
[tex]GH = JH[/tex]
Required
Prove: FGH ≅ FJH
Let the hypotenuse of both triangles be FG and FJ respectively.
In FGH:
[tex]FG^2 = GH^2 + FH^2[/tex] ---- (1)
In FJH
[tex]FJ^2 = JH^2 + FH^2[/tex]
Substitute GH for JH
[tex]FJ^2 = GH^2 + FH^2[/tex] --- (2)
By comparison: (1) = (2)
i.e.
[tex]FG^2 = FJ^2[/tex]
[tex]GH^2 + FH^2 = GH^2 + FH^2[/tex]
This implies that: FGH ≅ FJH
