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Mathematics

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

Triangles

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Answer

In △ABC,

Show that in a right angled triangle, the hypotenuse is the longest side. Triangles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

∠B = 90°

∠A and ∠C are acute angles i.e. less that 90°.

∴ ∠B is the greatest angle.

∴ ∠B > ∠A and ∠B > ∠C

⇒ AC > BC and AC > AB.

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

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