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

Asked by Topperlearning User | 11th Aug, 2017, 09:18: AM

Expert Answer:

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)

Thus AC is the longest side

Answered by  | 11th Aug, 2017, 11:18: AM