The coordinates of the vertices of a triangle are A(0,0), B(8,0), and C(0,6). What is the location of the orthocenter?
Show answer & explanation
Correct answer: A
Explanation
Given:
A(0,0), B(8,0), C(0,6)
Orthocenter = point of intersection of two altitudes
Line AB is on the x-axis, so the height drawn from C will be x = 0.
Line AC is on the y-axis, so the height drawn from B will be y = 0.
Point of intersection of two altitudes = (0,0)