An isosceles right triangle has area 8 cm2. The length of its hypotenuse is


Let height of triangle = h

As the triangle is isosceles, base = height = h


Area of triangle = 8cm2 (given)


1/2 × Base × Height = 8


1/2 × h × h = 8


h2 = 16


h = 4cm


Base = Height = 4cm


As the triangle is right angled,


Hypotenuse2 = Base2 + Height2


Hypotenuse2 = 42 + 42


Hypotenuse2 = 32


Hypotenuse = √ 32


Hence, the answer is Options A.

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