# Find the point D such that all the triangles have the same area.

1. Jun 29, 2008

### mathwizarddud

Consider $$\triangle ABC$$ with vertices $$A(4,8),B( - 1,2),$$ and $$C(0, - 3).$$ Find the point $$D$$ such that $$\triangle ABD,\triangle ACD$$ and $$\triangle BCD$$ all have the same area.

2. Jun 29, 2008

### Redbelly98

Staff Emeritus
It's the custom at Physics Forums that you show us what you've tried so far, before getting help with homework.

What have you attempted so far, towards solving the problem?