मराठी

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?

थोडक्यात उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Congruent Triangles - Exercise 12.7 [पृष्ठ ८४]

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

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In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°

In ΔPQR, ∠P = 30°, ∠Q = 40° and ∠R = 110°

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If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?


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Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.


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Show that OP is perpendicular to AB.


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Prove that:
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Show that LM and QS bisect each other.


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