Question

Find the coordinates of the orthocenter of ABC. A(-1,0) B(0,4) C(3,0)

Answer 1

`(0,0.75) \:or\:(0,(3)/(4))`

Explanation:

Hi there!

1) Firstly, connect the points to draw a triangle.

2) From each vertex either with a pair of square or with a software trace a perpendicular line to the opposite side.

3) The concurrent point, i.e. the intersection point of these three altitudes is the orthocenter. Orthocenter means the the right center.

In equilateral triangles the Orthocenter coincides with the Centroid.

4) Finally, the coordinates of the Orthocenter found is (0,0.75)