Question

In triangles ABC and CDE, if AC = CE, BC = CD, ∠A= 60°, ∠C= 30° and ∠D = 90°. Are two triangles congruent?

Answer 1

In triangles ABC and CDE, if AC = CE, BC = CD, ∠A= 60°, ∠C= 30° and ∠D = 90°.

Yes, these two triangles congruent.

Given,

AC = CE

BC = CD

∠ A= 60°

∠ C= 30°

∠ D = 90°

Consider the attached figure, while going through the following steps.

In Δ ABC and Δ CDE

AC = EC  

BC = CD

∠ BAC = ∠ CED

Therefore both the triangles are congruent considering SAS criteria.

Answer 2

Answer:

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