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Find the co-ordinate of the orthocentre of the triangle whose vertices are (1,2),(2,3),(4,3). Solve it completely.?
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Find the co-ordinate of the orthocentre of the triangle whose vertices...

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Find the co-ordinate of the orthocentre of the triangle whose vertices...



Orthocentre of a Triangle

Given Points:
- A (1,2)
- B (2,3)
- C (4,3)

Finding Slopes of Sides:
- Slope of AB = (3-2)/(2-1) = 1
- Slope of BC = (3-3)/(4-2) = 0
- Slope of AC = (3-2)/(4-1) = 1/3

Finding Equations of Altitudes:
- Equation of altitude from A: y = 1/3(x-1) + 2
- Equation of altitude from B: y = 3
- Equation of altitude from C: x = 4

Orthocentre Calculation:
- Solving the equations of altitudes, we get the point of intersection as (4,2)

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Find the co-ordinate of the orthocentre of the triangle whose vertices are (1,2),(2,3),(4,3). Solve it completely.?
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