SOLUTION: The orthocentre of the triangle formed by the lines x=2,y=3 and 3x+2y=6 is at the point? a)(1,2) b)(2,3) c)(3,2) d)(2,1) Also explain how.

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Question 1089218: The orthocentre of the triangle formed by the lines x=2,y=3 and 3x+2y=6 is at the point?
a)(1,2)
b)(2,3)
c)(3,2)
d)(2,1)
Also explain how.
Answer by ikleyn(52925)   (Show Source): You can put this solution on YOUR website!
.
This triangle is a right-angled triangle.


It has one side vertical: x = 2,


and the other side horizontal: y = 3.


The orthocenter is intersection of the triangle's altitudes.


So, the right angle vertex is the orthocenter.


It is the point (2,3).


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