In the figure given, if $Δ A B C$ is an isosceles triangle and OB and OC are angle bisectors of $∠ B$ and $∠ C$ respectively, then $Δ B O C$ is ____.

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

scalene

No worries! We‘ve got your back. Try BYJU‘S free classes today!

right-angled

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

In $Δ A B C$ , $∠ A B C = ∠ A C B$

So, $\frac{(∠ A B C)}{2} = \frac{(∠ A C B)}{2}$

$∠ B O C = ∠ B C O$

Therefore, $Δ B O C$ is also isosceles.

Suggest Corrections

Similar questions

$In the given figure, A B > A C . If BO and CO are the bisectors of ∠ B a n d ∠ C respectively then (a) O B = O C (b) O B > O C (c) O B < O C$

In an isosceles triangle 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

∠ B

∠ C

Δ A B C

A B = A C

O .

Δ A B C

Δ B O C

In the figure given, if $Δ A B C$ is an isosceles triangle and OB and OC are angle bisectors of $∠ B$ and $∠ C$ respectively, then $Δ B O C$ is ____.

Join BYJU'S Learning Program