# Rectangle within a triangle function.

• Sep 21st 2009, 09:37 AM
nrhowe
Rectangle within a triangle function.
The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. Image attached at bottom.

(a) Express the y-coordinate of P in terms of x.

(b) Express the area of the rectangle in terms of x.

http://www.math.sunysb.edu/~scott/pk...s/image033.gif

Thank you in advance for any assistance!
• Sep 21st 2009, 09:48 AM
Plato
What is P? There is no P in the diagram.
• Sep 21st 2009, 10:11 AM
nrhowe
Whoops sorry, the point P is where the rectangle intersects the line on the right size of the triangle.
• Sep 21st 2009, 10:33 AM
Plato
Quote:

Originally Posted by nrhowe
Whoops sorry, the point P is where the rectangle intersects the line on the right size of the triangle.

Then $P:(x,-Bx+B)$.