SOLUTION: A rectangle is inscribed in a right isosceles triangle with a leg of 6 cm so that it shares a common vertex with the triangle. Find the perimeter of the rectangle.

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Question 1074279: A rectangle is inscribed in a right isosceles triangle with a leg of 6 cm so that it shares a common vertex with the triangle. Find the perimeter of the rectangle.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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One vertex the rectangle lies on the straight line x + y = 6,

which means that the sum of lengths of two adjacent sides is 6.

Then the perimeter is 12 cm.