The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. (a) Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.) (b) Express the area of the rectangle in terms of x. (c) What is the largest area the rectangle can have, and what are its dimensions? P(x,?)

The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. (a) Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.) (b) Express the area of the rectangle in terms of x. (c) What is the largest area the rectangle can have, and what are its dimensions? P(x,?)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 51E

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