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Postulate5

Let ABC be a ...

Question

Let ABC be a triangle in which AB = AC . Let I be its incentre . Suppose that BC =AB+AI . Find angle BAC

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A B C

A B = A C

I

B C = A B + A I

∠ B A C

In $Δ A B C, A D$ is the bisector of $∠ B A C$ and $I$ is its incentre .

Prove that : $\frac{A I}{I D} = \frac{A B + A C}{B C}$ .

100^{\circ}

Let $A B C$ be triangle in which $A B = A C$ . Suppose the orthocentre of the triangle lies on the incircle. Find the ratio $\frac{A B}{B C}$ .

A B C

A B = A C

O

C O

D

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