Mathematics
In given figure, if △ ABE ≅ Δ ACD, show that
△ ADE ∼ Δ ABC.
Triangles
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Answer
Given,
△ ABE ≅ Δ ACD
We know that,
Corresponding parts of congruent triangle are equal.
⇒ AD = AE = x (let)
⇒ AC = AB = y (let)
In ∆ ADE and ∆ ABC
⇒ ∠DAE = ∠BAC (Common angle)
∴ ∆ADE ~ ∆ABC (By S.A.S. axiom)
Hence, proved that ∆ADE ~ ∆ABC.
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