Question

the coordinates of vertices of right angled triangle are P(3,4)and Q(7,4) and R(3,8) the right angle being at p. the coordinates of orthocentre of triangle PQR are​

Answer 1

Answer:

(3,4)

Step-by-step explanation:

Find the centroid of the triangle. It will be (13/3, 16/3).

Now find the circumcenter of the triangle. Since the triangle is right angled, the circumcenter will be the midpoint of the side QR( Since P lies on the circle having diameter QR). So the circumcenter will be (5,6).

Now, there exists a property for any triangle the Orthocenter, Centroid, Cirumcenter of a triangle lie on a line and the Centroid divides the line joining Orthocenter and Cirumcenter in the ratio 2:1. So now apply section formula and find the orthocenter.

Your answer will come out to be 3,4