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The two legs of an isosceles triangle have length y.  What is the maximum area that the triangle can have?  Express your answer in terms of y.

 Dec 19, 2019
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Note that the area  of a triangle  can be given by

 

(1/2) (side A) (side B)  ( sine of included angle  between sides A, B)

 

And note that   the sine  is greatest  at 90°  =  1

 

So.....the max area  is

 

(1/2) (y) (y) sin (90°)  =

 

(1/2)y^2 (1)   =

 

(1/2)y^2

 

cool cool cool

 Dec 19, 2019

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