CBSE Class 10 Answered
The vertices of a quadrilateral are (2, -1), (3, 4), (-2, 3) and (-3, -2). Find it's area without using the area formula.
Asked by Simran K | 23 Feb, 2014, 01:24: PM
Expert Answer
Consider the vertices, A(2, -1), B(3, 4), C(-2, 3) and D(-3, -2).
Compute, d1 = AB =
d2 = BC =
d3 = CD =
d4 = DA =
Thus, the sides AB = BC= CD = DA = .
Hence the quadrilateral is the rhombus.
Area of the rhombus =
Compute
and
Thus, the area of the rhombus is
Answered by | 25 Feb, 2014, 11:14: AM
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