Let's learn.
Isosceles triangle theorem
Theorem : If two sides of a triangle are congruent then the angles opposite to them are
congruent.
Ble Given : In A ABC, side AB side AC
To prove : ZABC = ZACB
Construction : Draw the bisector of ZBAC
which intersects side BC at point D.
: In A ABD and A ACD
seg AB = seg AC ....... given
ZBAD = ZCAD........construction
Fig. 3.26
seg AD S seg AD ....... common side
.. A ABD=AACD ......
..ZABD = ....... (c.a.c.t.)
.. ZABC = ZACB
B-D-C
Corollary : If all sides of a triangle are congruent then its all angles are congruent.
(write the proof of this corollary.)
mo
Proof
inc
Converse of isosceles triangle theorem
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