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The accompanying 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. (You might start by writing an equation for the line AB.) b) Express the area of the rectangle in terms of x. P(x, ?)

The accompanying 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. (You might start by writing an equation for the line AB.) b) Express the area of the rectangle in terms of x. P(x, ?)

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.5: Translating Sentences Into Equations
Problem 22WE
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I uploaded this question to an answerback and in the 2nd photo, I have the answer however I'm just wondering why did they use a tan of 135 to solve this question? and is this answer correct or not if not please let me know your solution

The accompanying 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. (You might start by writing an equation for the line AB.) b) Express the area of the rectangle in terms of x. P(x, ?)
Transcribed Image Text:The accompanying 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. (You might start by writing an equation for the line AB.) b) Express the area of the rectangle in terms of x. P(x, ?)
Step2. As is an It isoeies Right angled twangle ZB :90°, So LAc LC: 450 1350 Exterior angle A 135°. (-l10) tan 135° Siope of line AB : AISO line posses through boint A( 1o). From Slopr- form intercepe C 1. M:-1, Epuanon line AB, YE -X+1
Transcribed Image Text:Step2. As is an It isoeies Right angled twangle ZB :90°, So LAc LC: 450 1350 Exterior angle A 135°. (-l10) tan 135° Siope of line AB : AISO line posses through boint A( 1o). From Slopr- form intercepe C 1. M:-1, Epuanon line AB, YE -X+1
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