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RHS Criteria for Congruency

In triangle A...

Question

In triangle ABC , AB =AC and BC=AB +AI , where I is the incentre of triangle ABC . Then find the measure of angle A.

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

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

A B C

be a triangle in which

A B = A C

I

be its in-centre. Suppose

B C = A B + A I

∠ B A C

.

Q. Construct a triangle ABC, given: BC = 7 cm, AB -AC =1 cm and

∠ A B C = 45^{\circ}

. Measure the lengths of AB and AC.

Q. In a triangle ABC, AD is the bisector of angle A meeting BC at D.If I is the incentre of the triangle, then AI: DI is,

Q. Construct the incentre of

△ A B C

A B = 7 c m, ∠ B = 50^{\circ}

B C = 6 c m

. Also draw the incircle and measure its inradius

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