What are the coordinates of the orthocenter of △abc with vertices at a(1, 2), b(1, 6), and c(5, 6)?

(1,6)

Step-by-step explanation:

We are given that the vertices of triangle ABC are  A at (1,2),B at (1,6) and C at (5,6).

We have to find the coordinates of the orthocenter.

Distance formula:

Using distance formula

Hence, the triangle is a right triangle because it satisfied Pythagoras theorem

The orthocenter is the intersection of three  altitudes of triangle .The orthocenter of right triangle is the vertex of triangle .

The vertex of triangle is at B.

Therefore, the ortho-center of triangle ABC is B(1,6).

thats one

step-by-step explanation: