how can you determine the coordinates of the point of intersection of a perpendicular and the corresponding base of any triangle, if the coordinates of its vertices are given?
Asked by suryap2 | 1st Oct, 2010, 09:38: PM
let us consider a triangle ABC,
where AD is the perpendicular on BC.
we can find the slope of BC using the coordinates of B and C.
product of the slopes of AD and BC has to be -1....as they are perpendicular lines.
so you can find the equation of the line AD using slope point form as the coordinats of A are known.
now find the equation of BC using two point form.
solve the equations of AD and BC, to get the coordinates of D
hope this clarifies your doubt.
Answered by | 2nd Oct, 2010, 10:41: AM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number