Question

ΔABC has vertices A(0,10), B(4,10), and C(-2,4).

Find the orthocenter of ΔABC.


A: (-2, -12)


B: (2, -12)


C: (-2, 12)


D: (12, -2)

Answer 1

A simple diagram will show you the intersection of altitudes is in the 2nd quadrant. It must have x-coordinate -2, as the altitude to the "base" y=10 must be the vertical line through (-2, 4).

The appropriate choice is ...

... C: (-2, 12)