Question

show that in a right angles triangle the hypotenuse is the longest side.

Answer 1

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Answer 2

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Solution

ABC is right angle triangle

In right angle triangle B i. e angle B = 90 degree

To prove. - angle AC of right triangle hypotenuse is longest side

In triangle ABC

angle A + angle B + angle C = 180 degree

(we use angle sum property )

Angle A + 90 + Angle C = 180 ( given angle B = 90)

A + C = 180-90

A + C = 90

( Angle can't be negative)

Hence AC hypotenuse is longest side

hence proved

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