find the orthocentre of the triangle whose vertices are (5,-2),(-1,2),(1,4)
Answer (1)
13th Jan, 2020
Let A = (5, -2), B= (-1, 2), C= (1, 4)
First write the equation of the line BC. Take any general point D on BC. Find the equation of the line AD.
Use (Slope of AD)* (Slope of BC) = -1.
Do the same thing for line AB or AC.
Find the intersection point of the lines AD and AE (where E lies on AB or AC whichever you choose).
That intersection point will be your required orthocentre.
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