Question

The hypotenuse of a right angled Isosceles triangles is 5 cm.find its area

Answer 1

Let the base be a

Perpendicular = a

Hypotenuse = sqrt ( a^2 + a^2)

=> 5^2 = 2a^2

=> 25 /2 = a^2

=> a = 5 / root2

Base = 5 / root2

Perpendicular = 5 / root2

Area = Base × Perpendicular / 2

= 1/2 ( 5 / root2) (5 / root2)

= 1/2 ( 25 /2)

= 25 /4

= 6.25 cm^2