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

1+0 Answers


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

4 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details