Hi there. Im tryin to solve this one, I know that if I find the way to get one more vertex i'd have it solved.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

The point A(-1,8) is the vertex of a rhombus which minor diagonal is situated on the line L: [tex]L=\begin{Bmatrix} x=3\mu & \mbox{ }& \\y=1+4\mu & \mbox{}&\end{matrix}

[/tex], [tex]\mu\in{R}[/tex]. Get the coordinates of the rest of the vertex knowing that the rhombus area is 30.

2. Relevant equations

[tex]A=\displaystyle\frac{dD}{2}[/tex]

3. The attempt at a solution

Well, I haven't done too much. Actually I did some, but then I realized that I had confused something, cause I got the line L' where would be located the major D, but I've used for it the point A, and then I was trying to get the point of intersection between L and L', so then I doubled it, and I was going to get my second vertex, but then I realized that it was wrong, cause I couln't use point A, cause A don't belongs to L', it belongs to L, so...

[tex]30=\displaystyle\frac{dD}{2}\Rightarrow{60=dD}[/tex]

So, I don't know much about L', but that its perpendicular to L.

[tex]L'=\begin{Bmatrix} x=x_0+4/3\lambda & \mbox{ }& \\y=y_0-\lambda & \mbox{}&\end{matrix}

[/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Getting a rhombus vertex from one vertex and its area

**Physics Forums | Science Articles, Homework Help, Discussion**