Question

show that in a right angle triangle the hypotenuse is the longest side

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Answer 1

Answer:

$lenght^{2}+base^2=hypotenuse^2$

Answer 2

In the given triangle ABC,

Angle B = 90°

Hence Angle A + Angle C = 180°- 90°  ...(Sum of all angles of the triangle are 180°)

Therefore Angle B is the greater angle than Angle A and Angle C. [Angle A>Angle C ]  

We know that, Side opposite to greater angle is always longer.

Therefore, Side opposite to angle B is AC

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[AC > BC and AC > AB]

That is AC is the longest side..

[AC is the hypotenuse]