Question

Find the length of hypotenuse of an isosceles right angled triangle having an area of 200 cm 200cm take root 2 is equal to 1.414 1

Answer 1

In an isosceles triangle,any two sides are equal.So,in this question, base=height or (b=h)
Area of ∆=1/2 × b × h
200=1/2 × b square
400= b square
b=√400 = 20
So, b=h=20
Hypotenuse = √400+400
=20√2
=20×1.414
=28.28 cm