Chapter 7 Class 9 Triangles
Serial order wise

Ex 7.4, 1 - Show that in a right angled triangle, hypotenuse - Side inequality

Ex 7.4, 1 - Chapter 7 Class 9 Triangles - Part 2

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Ex7.4, 1 Show that in a right angled triangle, the hypotenuse is the longest side. Given: Δ ABC is a right-angled triangle , right-angled at B i.e. ∠ B = 90° To prove: AC is the longest side of ∆ ABC Proof: In ΔABC, ∠A + ∠B + ∠C = 180° ∠A + 90° + ∠C = 180° ∠A + ∠C = 180° – 90° ∠A + ∠C = 90° Angle can’t be 0 or negative Hence, ∠ A < 90° ∠ A < ∠ B BC < AC Also, ∠ C < 90° ∠ C < ∠ B AB < AC ∴ AC is the longest side in Δ ABC Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo