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if three vertices are given that is (x1,y1,z1) and soo on, how to find orthocentre

if three vertices are given that is (x1,y1,z1) and soo on, how to find orthocentre

Grade:12

1 Answers

Vikas TU
14149 Points
7 years ago
First find all the three equations of all the 3 sides of the triangle by using all the 3 vertices.
After that find the midpoints on all the three sides by midpoint formulae as the perpendicular bisectors will be passing from that point.
Then let p be the distance from that Orhotcentre point assume it (h,k).
Apply the perpecdiclaur distance formulae from the Orthocentre point to the 3 sides eqns. and equate them and solve the three eqns. together and get (h,k).

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