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ConceptTriangles Examples and Solutions

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#### Question

In the below figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm, such that the segments BD and DC are respectively of lengths 6 cm and 9 cm. If the area of Δ ABC is 54 cm2, then find the lengths of sides AB and AC.

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The incircle of an isosceles triangle ABC, in which AB = AC, touches the sides BC, CA and AB at D, E and F respectively. Prove that BD = DC.

#### Reference Material

Solution for concept: Triangles Examples and Solutions. For the course 8th-10th CBSE