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!

What is P? There is no P in the diagram.

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

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 .