Question 1045419

find the area of a triangle with the vertices ( 7.-9), (-1,6),(-1,-9)
<pre>Let points (7, - 9), (- 1, 6), and (- 1, - 9) be A, B, and C, respectively
We then have: A(7, - 9), B(- 1, 6), C(- 1, - 9)
Line AC is parallel to the x-axis, and so, its length is: 7 - - 1, or 7 + 1, or 8 units
Line BC is parallel to the y-axis, and so, its length is: 6 - - 9, or 6 + 9, or 15 units
We now see that the polygon is a right-triangle, and that AC and BC are its legs. 
Therefore, area = {{{(1/2) * 8 * 15}}}, or {{{highlight_green(matrix(1,3, 60, sq, units))}}}