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Show that in aright angled triangle,the hypotenuse is the longest?

Posted by Sangeet Kumar Achari 5 years, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 2 months ago

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]

ANSWER

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