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please help

by grandh01 » Mon Jul 09, 2012 11:28 pm
A right triangle measuring 11, other sides are y and y+1. What is the value of y?

Sorry I don't have the answer choices, your help will be much appreciated.
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by Anurag@Gurome » Tue Jul 10, 2012 1:28 am
grandh01 wrote:A right triangle measuring 11, other sides are y and y+1. What is the value of y?
I'm assuming the measure of the length of the hypotenuse is 11 units.
So, 11² = y² + (y + 1)²
--> (2y² + 2y + 1) = 121
--> (2y² + 2y - 120) = 0
--> (y² + y - 60) = 0

Hence, y = (√241 - 1)/2 or y = (√241 + 1)/2
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