ConceptCriteria for Similarity of Triangles

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#### Question

In the given figure, D is a point on hypotenuse AC of ΔABC, DM ⊥ BC and DN ⊥ AB, Prove that:

(i) DM^{2} = DN.MC

(ii) DN^{2} = DM.AN

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#### Reference Material

Solution for concept: Criteria for Similarity of Triangles. For the course CBSE