Question

Exercise 7.2
Question 1:
In an isosceles triangle ABC, with AB = AC, the bisectors of B and Cintersect each other at 0. Join A to 0. Show
that:
(1) OB = OC
(ii) AO bisects ZA
Answer 1:
(i) in ABC AB = AC
[ Given]
Hence, ZACB = LABC
- Angles opposite to equal sides are equal]
==2ACB = P_ABC
LACO = LABO
1: 0B and OC bisect 2B and C respectively]
In AABO and AACO,
AB = AC
[ Given)
LABO = LACO
1: Proved above]
A0 = AO
Common
Hence, ABD =AACO
T: SAS Congruency Rule]
OB = OC
[CPCT]
(ii) AABO = AACO
Proved above)
R1 = CA
Г-- Грсті
A
6​

Answer 1

Answer:

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