2. how do i Find the coordinates of the orthocenter of a triangle with vertices D(-1, -1), E(-1, 5), and F(-4, -1)?

orthocenter-triangle

#1

how do i Find the coordinates of the orthocenter of a triangle with vertices D(-1, -1), E(-1, 5), and F(-4, -1) ?

Answer:

Definition:

Orthocenter of a triangle is a point that is the intersection of the altitudes of the triangle.

Draw a sketch of given triangle.

Notice that the triangle is right, so orthocenter is in fact point D(−1,−1).