Question 1016826
.
show that the points (1,-3), (3,2), (-2,4) are the vertices of an isosceles triangle and find its area.
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This is your triangle.


<TABLE>
  <TR>
  <TD>
{{{drawing( 250, 250,  -5, 5, -5, 5, 
            grid(1),
            line( 1, -3,  3, 2), 
            line( 1, -3, -2, 4),
            line( 3,  2, -2, 4)
)}}}
 </TD>
 </TR>
</TABLE>

1. &nbsp;From this plot you can see (visually) that it is isosceles.
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;You can check it by calculating the lengths of the corresponding sides.


2. &nbsp;You can see (visually) also that it is right-angled triangle.
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;You can check it algebraically.


3. &nbsp;When you know two legs dimensions, you can calculate the area
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;of the triangle as half of the product of its legs dimensions.