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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. B 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. B P(x, ?)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I asked this question an I got an answer back however asked this question back because I don know how they used tan how do they know the the slope of the line is tan theta the 2nd phot is there explaintion

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, ?)
MLABC+ m LBAC tm LB(A z 180 göt m LBAC + mLBAC =186 Gom i)) 2m LBAL= 180-go g0 45° So we Know Slope of Ime s8 tamo where O ds anicbckesse desection ongk With x -goad So 180- MLBAC Oz 180- y5 35°
Transcribed Image Text:MLABC+ m LBAC tm LB(A z 180 göt m LBAC + mLBAC =186 Gom i)) 2m LBAL= 180-go g0 45° So we Know Slope of Ime s8 tamo where O ds anicbckesse desection ongk With x -goad So 180- MLBAC Oz 180- y5 35°
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