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The points (0,0)(3,0)(0,4) are the midpoints of 3 sides of a triangle. find its area?

The points (0,0)(3,0)(0,4) are the midpoints of 3 sides of a triangle. find its area?

Grade:12

1 Answers

Nikki
13 Points
3 years ago
Given that the midpoint of triangle is (0,0),(3,0),(0,4).then join these points we get a traingle and find the slopes of the lines joint these points we  get 0/-3,4/0,-4/3.now the lines joing these points are parallel to the third side of the original triangle.then find the equation of the original triangle we get y=4,x=3&4x+3y=0.finding out the point of these lines we get the vertices of the original triangle i.e. (3,-4),(3,4),(-3,4). finding the area by taking determinant of these points we get 24 sq.units

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