Proof:
and
are isosceles triangles.
Step-by-step explanation: Given in
D and E are angle bisector of
and
respectively.
Where G and H are points in AB such that
and
.
Let us take two triangles
and

(Right angles)
BE=BE, (common segment)
( Because BE is angle bisector)
Thus,
(ASA)
Therefore, EH= CE (CPCT)
So, in
, EH=CE ⇒
is an isosceles triangle.
Now, in
and
,
(Right angles)
AD=AD (common segment)
( Because AD is angle bisector)
⇒
(ASA)
Thus, CD=DG (CPCT)
So, in
, CD=DG ⇒
is an isosceles triangle.