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

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

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It is known that ABC is a triangle right angled at B.

We know that,

A + B + C = 180°

If B+C = 90° then A has to be 90°.

Since A is the largest angle of the triangle, the side opposite to it must be the largest.

So, AB is the hypotenuse which will be the largest side of the above right-angled triangle i.e. ΔABC.

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