Mathematics
Three vertices of a square are A(2, 3), B (-3, 3) and C (-3, -2). Plot these points on a graph paper and hence use it to find the co-ordinates of the fourth vertex. Also find the area of the square.
Coordinate Geometry
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Answer
The points are shown on the graph below:
Steps of construction :
Plot points A(2, 3), B(-3, 3) and C(-3, -2) on graph.
Measure AB.
Mark point D such that it is at a distance AB from points A and C.
Join AB, BC, CD and DA.
On measuring,
AB = 5 units [As, 1 block = 1 unit]
Area of the square = side × side
Area of the square ABCD = AB × AB
= 5 × 5 = 25 sq. units.
Hence, the coordinates of D = (2, -2) and area of the square is 25 sq. units.
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