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If the points A (1, -2), B (2, 3) , C (a, 2) and (-4, -3) form a parallelogram , find the value of a and height of the parallelogram taking AB as base.

If the points A (1, -2), B (2, 3) , C (a, 2) and (-4, -3) form a parallelogram , find the value of a and height of the parallelogram taking AB as base.

Grade:10

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Dear Student,

In two ways you can find the value of a
1. By using AB = CD (Opposite sides are equal)
2. By equating the slopes of AB and CD (Opposite sides are parallel)

Now to find the heigh of parallelogram from C or D upon base AB, You can use the formula: – Area = base * height (First find the area using the given coordinates).

Thanks.

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