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The points $(4, 0)$ and $(-4, 0)$ are two non-consecutive vertices of a rhombus with an area of $80$ square units. One of the other vertices is $(0, K)$ where $K > 0$. What is the value of $K$?

michaelcai  Nov 2, 2017
edited by michaelcai  Nov 2, 2017
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 #1
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The area of a rhombus =

 

(1/2) product of the diagonal lengths

 

One diagonal length is 8.....so the other must be 20

 

And the mid-point of this diagonal is at the origin

 

So.....(0,10)  and (0, -10)   are the other two vertices

 

So....K  must be 10

 

 

cool cool cool

CPhill  Nov 2, 2017

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