Question

if triangle ABC is an isosceles triangle such angle ab = angle ac then​

Answer 1

Answer:

(i) In ΔABC, we have,

  ∴ AB = AC

[Given]

∠C = ∠B

[Angle opposite to equal sides are equal]

or ∠OCB = ∠OBC

⇒ OB = OC

[Sides opposite to equal angles are equal]

 (ii) In ΔABO and ΔACO, we have

AB = AC

[Given]

  OB = OC

[Proved]

 ∴ Using SAS criteria,

   ΔABO ≌ ΔACO

⇒ ∠OAB = ∠OAC

[By CPCT]

⇒ AO bisects ∠A.

ΔABC is an isosceles triangle. ⇒ Their corresponding parts are equal. (ii) AB = AC, i.e. ABC is an isosceles triangle. ∴ Their corresponding parts are equal.