Question

The area of a right angeled triangle is 40 sq. CM. and its perimeter is 40 CM. the length of it's hypotenuse is​

Answer 1

Answer:

18 cm

Step-by-step explanation:

Let ∆ABC is a given triangle right angled at B.

Denote AB=a, BC=b and CA=c.

Given conditions are

Perimeter a+b+c=40...........(1)

Area (1/2)ab=40

ab=80............(2)

a²+b²=c²...........(3)

from eq (1)

a+b=40-c

a²+b²+2ab=1600-80c+c²

c²+160=1600-80c+c²

80c=1440

c=18cm.

Hence length of the hypotenuse is 18cm.