In Fig. 6.37, if ∆ ABE ≅ ∆ ACD, show that ∆ ADE ~ ∆ ABC.

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TextAA Similarity Criterion for TrianglesCongruence of Triangles

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In the given figure, ABCD is a quadrilateral. Diagonal BD bisects ∠B and ∠D both. Prove that :

CASE_STUDIESConditions for Similarity of TrianglesAA Similarity Criterion for Triangles

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Basic Proportionality Theorem (Thales Theorem)

AA Similarity Criterion for Triangles

Basic Proportionality Theorem (Thales Theorem)

AA Similarity Criterion for Triangles

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In the adjoining figure, ΔCAB is a right triangle, right angled at A and AD ⊥ BC. Prove that ΔADB ~ ΔCDA. Further, if BC = 10 cm and CD = 2 cm, find the length of AD.

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