Question

an isoceles right traingle as area 200cm2 find the length of hypotenious

Answer 1

Done find the attachment to the answer Dear Abhay.

Answer 2

In right angled isoceles triangle the sides forming right angle are equal

Let side containing right angle be x

so as we know that

area of right angled triangle = 1/2 × product of sides.forming right angle

200 = 1/2 × x × x

x^2 = 200/2

x^2 = 100

x = 10

so using Pythagoras theorem

( 10 )^2 + ( 10 ) ^2 = hypotenus^2

200 = hypotenus ^2

hypotenus = 10root 2