maths

posted by kumar

1.Without using Pythagorus theorm, prove that the points (-4,-3), (-2,2),(8,-2)are the vertices of a right angled triangle.

2. The 3 vertices of a parallelogram taken in order are (3,4),(-2,3), (-3,-2).Find the coordinates of the fourth vertex ?

can u pl explain me in detail.

  1. Steve

    how far have you gotten using Reiny's suggestion?

    For #2, you might also look at it as involving the translation of one line onto a parallel line.

    The line from (-2,3) to (3,4) is one side of the parallelogram.

    If you translate (-2,3) to (-3,-2) then you have moved it by (-1,-5). So, move the other end of the line by the same amount, and you will have found the other end of the parallel side.

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