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Quadrilateral ABCD is a circumscribed quadrilateral, meaning that it is circumscribed about a circle, so the circle is tangent to all four sides of ABCD. Show that AB + CD = BC + AD.

 Oct 24, 2021
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nevermind, i think i got it;

 

heres how i did it

first draw quadrilateral ABCD, then draw the circle inside. start labeling the equal tangents from vertices. also label the points of tangency. I labeled mine

like this: W on AB, X on BC, Y on DC, and Z on AD. AW = AZ = x (variables), BX = WB = y, XC = YC = z, and ZD = DY = w. 

 

the equation is x + y + w + z = x + w + y + z

 

which is true

 

proved

this solution made no sense i know 

 Oct 24, 2021

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