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The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is10 units long.
Express theÃ¢â‚¬â€¹ ycoordinate of P in terms of x.Ã¢â‚¬â€¹ (Hint: Write an equation for the lineÃ¢â‚¬â€¹ AB.)
Ã¢â‚¬â€¹(b) Express the area of the rectangle in terms of x.
Ã¢â‚¬â€¹(c) What is the largest area the rectangle canÃ¢â‚¬â€¹ have, and what are itsÃ¢â‚¬â€¹ dimensions?
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