Question

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

Answer 1

Let’s name triangleABC

In triangle ABC

Angle B=90°

Angle B and angleA,

AC>BC ………..(1) (side opposite to greater angle is longer)

AngleB and angle c,

AC>AB ……..(2) (side opposite to greater angle is longer)

From equation 1st and 2nd ,

AC>BC,AB

Hence, hypotenuse is the longest side.

Answer 2

Step-by-step explanation:

Given :A right angledtriangle ABC, B = 90o

To Prove:Hypotenuse AC in the longest side.

(i) AC > AB(ii)AC > BC.

Proof: Now in ABC.

ABC = 90o

But CAB + BCA + CBA = 180o

Thus BCA < 90o and CAB < 90o

(Side opposite to greater angle is larger)

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