Question

a right angled triangle has an area of 8 cm square find its hypotenuse​

Answer 1

The hypotenuse cannot be found for right triangle. So , considering it as an isosceles triangle .

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Both the perpendicular and base are equal in length.

So Area of triangle = 1/2 x b x h

Let b = h = y

1/2 x y x y = 8

y² = 16

y = 4

So Perpendicular = Base = 4 cm

Now by Pythagoras theorem,

4² + 4² = √ 16+ 16 = √32 = 4√2 cm

So required hypotenuse = 4√2 cm

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