Ex 7.2, 10 - Explain, why triangle ABC congruent FED - Class 7

Ex 7.2, 10 - Chapter 7 Class 7 Congruence of Triangles - Part 2
Ex 7.2, 10 - Chapter 7 Class 7 Congruence of Triangles - Part 3

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Transcript

Question 10 Explain, why ∆ABC ≅ ∆FED.Here, we have two angles & 1 side equal But the side is not between the angles So, finding third angle in both triangles. In ∆ABC, By Angle Sum Property, ∠A + ∠B + ∠C = 180° ∠C = 180° − ∠A − ∠B Now, ∠A = ∠F and ∠B = ∠E ∴ ∠C = 180° − ∠F − ∠E In ∆DEF, By Angle Sum Property, ∠D + ∠E + ∠F = 180° ∠D = 180° − ∠E − ∠F From (1) and (2) ∠C = ∠D Now, In ∆ABC and ∆FED ∠B = ∠C BC = ED ∠C = ∠D ∴ ∆ABC ≅ ∆FED So, using ASA Congruence rule, ∆ABC ≅ ∆FED

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.