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If (-4,3) and (4,3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.

If (-4,3) and (4,3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.

Grade:

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
6 years ago
Clearly x cordinate will be 0 Since third vertice will lie perpendicularly to the mid point of above points
Point will be (0,y)
Length of Side using above will be 8
Using distance formula find y
Take the value of y such that origin lies inside.
For this you can draw rough figure

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