Quote:
Originally Posted by I'm_Schuyler  I need help on using midpoints to draw a triangle... here's the question
"the midpoints of the sides of a triangle are L(4,2), M(2,3), AND N(5,4). What are the coordinates of the vertices of the triangle?"
I understand that you find the slope of each side, but what do you do after that? Please help and thanx  |
1. Let A, B and C denote the vertices of the triangle you are looking for.
2. Draw the triangle LMN.
3. The side of triangle ABC which passes through L must be parallel to MN:
Calculating the slope MN:
Calculating the equation of the line through L:
4. Do just the same with the points M and N. You then have 3 equations of three lines.
5. Calculate the coordinates of the intersection points of these three lines.