An isosceles right triangle has an area of 8 square cm. The length of its hypotenuse is

Let the height of the triangle be h.

The given triangle is isosceles in nature.

Let base = height = h 

Area of triangle = 8cm2 

⇒ ½ × Base × Height = 8 

⇒ ½ × h × h = 8 

⇒ h2 = 16 

⇒ h = 4cm 

Base = Height = 4cm 

As the triangle is right angled, hypotenuse2 = base2 + height2 

= 42 + 42 

= 32 

⇒ hypotenuse = √32

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