what are the coordinatesof orthocenter?

Hello student,
Let ABC be the given triangle and AD, BE and CF be the three altitudes.
Now, to calculate the orthocentre,
Step 1: Firstly, find the slopes of sides AB, BC and CA using the formula

Step 2: Calculate the slopes of altitudes AD, BE and CF which are perpendicular to BC, CA and AB respectively.
Slope of altitude = -1/ slope of opposite side
Step 3: By suing the point slope form, calculate the equation for the altitudes with their respective coordinates. The point slope formula is given as y – y₁ = m (x – x₁)
Step 4: Finally, by solving the equations of any two altitudes, we can get the orthocentre of the triangle.