Question

In the following figure `JG_|_FH`. If hypotenuse `bar(FJ)=bar(HJ)` and sides `bar(FG)=bar(HG)`, prove that `DeltaFGJ-=DeltaGHJ`?

Answer 1

Please see below

Explanation:

In figure B, we have two right angled `DeltasFGJ` and `GHJ`, where

`Hyp.bar(FJ)=Hyp.bar(HJ)" "` - Given

`Sidebar(FG)=Sidebar(HG)" "` - Given

`m/_FGJ=m/_HGJ=90^@" "` - Given

Hence `DeltaFGJ-=DeltaGHJ` `-` `RHS` congruency postulate