2005 iTest Problems/Problem 9
Revision as of 16:34, 13 October 2025 by Mathloveryeah (talk | contribs) (Created page with "==Problem== Find the area of the triangle with vertices of <math>(1,2)</math>, <math>(1,10)</math>, and <math>(5, 5)</math>. ==Solution 1== Since <math>(1,2)</math> and <math...")
Problem
Find the area of the triangle with vertices of
,
, and
.
Solution 1
Since
and
are collinear, let that be the base. It therefore has length 8. The distance from
to this line is the same as the distance from
to
, which is equal to 4. The area of this triangle is
.