Question

if the area of right angled triangle is 40 sq.cm and its perimeter is 40 cm then find its length of hypotenuse.

Answer 1

Answer:

Step-by-step explanation:

Do you know

The hypotenuse of the right triangle is the square root of the sum of the squares of the other two sides? If c is the hypotenuse, then, c=√(a^2+b^2)? Or

c^2=a^2+b^2?

Do you know

The perimeter of the right triangle is the sum of all its sides? In other words,

a+b+c=40

Or

a+b=40-c

Or

(a+b)^2=(40-c)^2

Or

(a^2+b^2)+2ab=(40-c)^2?

Or

c^2+2*80=1600-80c+c^2

Or 80c=1600-160

c=???

You certainly know,

(a+b)^2=(a^2+b^2)+2a*b=c^2+160

a=?

b=?

You know all about the given triangle!!!