Question: If the vertices of a triangle are $(5,2),(2/3,2)$ and $( - 4,\ 3)$, then the area of the triangl...

Question

If the vertices of a triangle are $(5,2),(2/3,2)$ and $( - 4,\ 3)$ , then the area of the triangle is.

Answer 1

$\Delta = \frac { 1 } { 2 } \left| \left\{ 5 ( 2 - 3 ) + \frac { 2 } { 3 } ( 3 - 2 ) + ( - 4 ) ( 2 - 2 ) \right\} \right|$

$= \frac { 1 } { 2 } \left| \left( \frac { - 13 } { 3 } \right) \right| = \frac { 13 } { 6 }$ .

Question: If the vertices of a triangle are \((5,2),(2/3,2)\) and \(( - 4,\ 3)\), then the area of the triangl...