Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Angle opposite to longer side
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Last updated at May 29, 2023 by Teachoo
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