Question

If one vertex of an equilateral triangle is the origin and the side opposite of it has the equation x+y=1 then the orthocentre of the triangle is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The orthocentre of the triangle is (1/3 , 1/3)

Solution :-

Let △ABC be the equilateral triangle (Given)

The given equation is x+y=1

We know the centroid & orthocentre of an equilateral triangle are same.

From the origin, the foot of the perpendicular on AB is (1/2 , 1/2)

Therefore, the centroid divides the median in the ratio 2:1

Thus, the orthocentre / centroid has the coordinates (1/3 , 1/3)