Quant Question Of The Day: 113
Coordinate Geometry
If the vertices of a triangle are (9,9) (10, 1) and (6,7) , find the co-ordinates of its orthocentre.
(A) (9,9)
(B) (6,7)
(C)(4,5)
(D)(25/3, 17/3)
Let A = ( 9,9) , B = (10, 1), C(6,7)
AB = √65
BC = √52
CA = √13
AB2 = BC2 + CA2
Hence, Angle C = 90
For a right angled triangle, the orthocentre is the vertex conatining the right angle. i.e (6,7)
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