Find the perimeter of an isosceles right triangle having an area of 200cm^2 - Maths - Heron\s Formula

Question

Find the perimeter of an isosceles right triangle having an area
of 200cm^2

Sajal Agrawal · Accepted Answer

Area of isosceles right angled
triangle = 1/2 *b*h

Here if it is isosceles right
angled triangle ,

Then perpendicular = base =
x

So, area =1/2 *x*x

400 = x²

x² = 400

x = = 20 cm

so P = B = 20

By Pythagoras theorem
,

H² = P²
+B²

=
(20)²+(20)²

= 400 + 400

= 800

H = 20 root 2 cm

Perimeter = 20 + 20 + 20 root
2

= 40+20 root 2

= 68 28 cm

Find the perimeter of an isosceles right triangle having an area of 200cm^2.