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triangles

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triangles

by divya23 » Mon Jun 13, 2011 10:08 pm
The perimeter of certain isoceles right triangle is 16+16underroot2.what is the length of the hypotenuse..

[spoiler]ans= 16[/spoiler]
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by Anurag@Gurome » Mon Jun 13, 2011 10:34 pm
divya23 wrote:The perimeter of certain isoceles right triangle is 16+16underroot2.what is the length of the hypotenuse..

[spoiler]ans= 16[/spoiler]

Solution:
Let the sides of triangle be x, x, and sqrt2*x.
Or 2x + sqrt2*x = 16+16*sqrt2.
Or x(2 + sqrt2) = 8*sqrt2(2 + sqrt2).
Or x = 8*sqrt2.
Or hypotenuse is x* sqrt2 = 8*sqrt2*sqrt2 = 16.
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