Question

An isosceles right-angled triangle has an area equal to 800 sq.cm. what is the length of the hypotenuse?

Answer 1

Hi !

base = b 
altitude = h

A.T.Q.,

b = a

we have to find hypotenuse

We know that,

Area of triangle = 1/2bh
800  = 1/2bh

but , b = h 

800 = 1/2b*b
800 = 1/2b²

b² = 800*2

b² = 1600

b = 40 cm

we know that,

b = h = 40 cm

also ,

hypotenuse² = b² + h²
                     = 1600 + 1600
                     = 3200

hypotenuse = √3200 cm
                   = 40√2 cm

Hence, Length of the hypotenuse is 40√2 cm