an isoscles right triangle has area 8 cm². thw lenght of its hypothenuse
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right angle = 8 cm²
An isosceles right triangle has area 8 cm square . Find the length of its hypotenuse.
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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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