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Easy

Question

# An isosceles right angled triangle has area 8 cm^{2} . Find the length of its hypotenuse.

Hint:

### In right angled isosceles triangle, base and height have equal length

## The correct answer is: 5.64 cm

### We know that base and height have equal length in right angled isosceles triangle.

Let base = height = x

It is given that Area of the triangle = 8 cm^{2}

= 8

x^{2} = 8

x^{2} = 16 ⇒ x = 4 cm

So, base = 4 cm = height

Using Pythagoras theorem,

Hypotenuse^{2} = Base^{2} + Height^{2} = 4^{2} + 4^{2} = 2 8^{2}

Hypotenuse = 4 cm

( = 1.41)

= 5.64 cm

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