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

Expert Answer:

dear student,
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.
now,
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.
regards
team
topperlearning

Answered by  | 2nd Oct, 2010, 10:41: AM

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