Question

29. In an isosceles ∆ABC, with AB = AC, the bisectors of ∟B and ∟C intersect each other at O. Join A to O. Show

that (i) OB = OC (ii) AO bisects ∟A. ​

Answer 1

I hope it will help and you like the answer

so like the answer

Answer 2

Step-by-step explanation:

$\huge\color{Red}{\colorbox{black}{XxItzAdarshxX }}$

Solution:-

Solution:-Given:-

AB = AC and

the bisectors of B and C intersect each other at O

(i) Since ABC is an isosceles with AB = AC,

B = C

½ B = ½ C

⇒ OBC = OCB (Angle bisectors)

∴ OB = OC (Side opposite to the equal angles are equal.)

(ii) In ΔAOB and ΔAOC,

AB = AC (Given in the question)

AO = AO (Common arm)

OB = OC (As Proved Already)

So, ΔAOB ΔAOC by SSS congruence condition.

BAO = CAO (by CPCT)

Thus, AO bisects A.

$\large\bf{\underline\green{❥thαnk \; чσu ♥♥}}$