Question

EXERCISE 7.4
Show that in a right angled triangle, the
hypotenuse is the longest side.
ARC
AR and​

Answer 1

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.