Question

Show that the bisector of a base angle of a triangle never enclose a right angle

Answer 1

Answer:

Step-by-step explanation:

Hope! this will help you

Answer 2

Step-by-step explanation:

Given:

• A ∆ABC in which BO and CO are the bisectors of the base angles ∠B and ∠C respectively.

To Prove:

• ∠BOC is not a right angle.

PROOF: If possible, let ∠BOC = 90°. Then,

∠CBO + ∠BCO = 180°

$\implies{\rm }$ 1/2 ∠B + 1/2 ∠C = 90°

$\implies{\rm }$ ∠B + ∠C = 180°

$\implies{\rm }$ ∠A = 0° { since, ∠A + ∠B + ∠C = 180° }

This shows that the points A, B , C do not form a triangle, which is false.

So our assumption is wrong.

Hence, ∠BOC is not a right angle.