Question

An isosceles right triangle has an area of 200 cm². What is the length of its hypotenuse?

Answer 1

Suppose ABC be an isosceles right triangle in which

AB = BC = a

Area = \(\frac { 1 }{ 2 }\) x base x altitude

200 = \(\frac { 1 }{ 2 }\) x a x a

200 = \(\frac { 1 }{ 2 }\) x a²

⇒ a² = 2 x 200

⇒ a² = 400

⇒ a = 20 cm

i.e. AB = BC = 20 cm

Hypotenuse AC