Question

Prove that hypotenuse is the longest side

Answer 1

Answer:

Step-by-step explanation:

In the given triangleABC,

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

[AC > BC and AC > AB]

That is AC is the longest side..

[AC is the hypotenuse]

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