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Show that in a right angled triangle,...

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

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Let ABC be a right triangle in which `angleB=90^(@).`
Then, `angleA+angleC=90^(@)`.
`therefore" "angleB gt angleA and angleB gt angleC`
`rArr" "Acgt BC and AC gtAB`
[side opp. To larger angle is longer].
`therefore" AC is the longest side."`
Hence, in a right triangle, the hypotenuse is the longest side.
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