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In Triangles Abc and Cde, If Ac = Ce, Bc = Cd, ∠A = 60°, ∠C = 30° and ∠D = 90°. Are Two Triangles Congruent? - Mathematics

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प्रश्न

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

संक्षेप में उत्तर
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उत्तर

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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Criteria for Congruence of Triangles
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Congruent Triangles - Exercise 12.7 [पृष्ठ ८४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
अध्याय 12 Congruent Triangles
Exercise 12.7 | Q 5 | पृष्ठ ८४

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