A) \[\left( 4,\,\frac{8}{3} \right)\]
B) (3, 4)
C) (4, 3)
D) (-3, 4)
Correct Answer: A
Solution :
Let the vertices of the triangle be O(0, 0) \[A(8,0),\] \[B(4,6)\]. The equation of an altitude through O and perpendicular to AB is \[y=\frac{2}{3}x\]and the equation of an altitude through \[A(8,0)\] and perpendicular to OB is \[3y=-2x+16\]. The two altitudes intersect at \[\left( 4,\frac{8}{3} \right)\].You need to login to perform this action.
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