What is the orthocenter of a triangle with corners at #(2 ,4 )#, #(1 ,3 )#, and (3 ,5 )#?
1 Answer
Jan 13, 2018
Triangle doesn’t exist as the slopes of the three sides are equal; I.e. the three points are collinear
Explanation:
Slope of BC
Slope of CA
Slope of AB
As may be seen, all the three sides of the triangle have their slopes equal; i.e. the three points are collinear. That shows such a triangle can’t exist.