SOLUTION: The vertices of a triangle are (1,k), (4,-3) and (-9,7). If the area of triangle is 15 Sq. units, then find the value(s) of k.

Question 1011415: The vertices of a triangle are (1,k), (4,-3) and (-9,7). If the area of triangle is 15 Sq. units, then find the value(s) of k.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The vertices of a triangle are:
(,),
(,) and
(,).
If the area of triangle is Sq. units, then find the value(s) of .

We have a formula which can be directly used on the vertices of triangle to find its area.
If, (, ), (, ) and (, ) are the
coordinates of vertices of triangle then area of triangle is:

you are given:
Sq. units

substitute it in

so, your points are:
(,),
(,) and
(,)

ss you can see from the graph, the length of the base of triangle is units and height is units
so, the area is: =>=>=> sq.units and it confirms that

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