Mathematics
Show that in a right angled triangle, the hypotenuse is the longest side.
Triangles
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Answer
In △ABC,
∠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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