Show that in a right angled triangle, the hypotenuse is the longest si – InterviewSolution

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1.

Show that in a right angled triangle, the hypotenuse is the longest side.

Answer»

In ∆ABC, ∠ABC = 90°

∠A + ∠C = 90°

∠ABC > ∠BAC and ∠ABC < ∠BCA

∴ D is the largest side of ∠ABC.

∴ AC is opposite side of larger angle.

∴ AC hypoternuse is largest side of ∆ABC.

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