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Question
In triangles ABC and CDE, if AC = CE, BC = CD, ∠A = 60°, ∠C = 30° and ∠D = 90°. Are two triangles congruent?
Solution
For the triangles ABC and ECD, we have the following information and corresponding figure:
AC = CE
BC = CD
∠A = 60°
∠C = 30°
∠D = 90°
In triangles ABC and ECD, we have
AC = EC
BC = CD
and ∠BAC= ∠CED
The SSA criteria for two triangles to be congruent are being followed. So both the triangles are congruent.
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