Question

Find the coordinates of the orthocenter of triangle ABC with vertices A(0,0), B(4,0), and C(4,2)

a. (4,0)
b. (2,1) ****
c. (4,2)
d. (2,0)

Answer 1

(4,0)

Explanation:

Answer 2

Firstly, we need to draw graph

we can see that

this is right angled triangle

and we know that

Orthocenter is the point of intersection of the altitudes

and Each leg in a right triangle forms an altitude

So, in a right-angled triangle, the orthocenter lies at the vertex containing the right angle

Hence, point B will be orthocenter

so,

Orthocenter is (4,0)........Answer