pqrs is a rectangle with diagonaland pr and qs intersect at oand of po= 3x+2cm and oq=2x+5cm find x
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Since the diagonals of a rectangle are equal,
Therefore, PR = SQ
=> PR/2 = SQ/2 [Dividing both sides by 2]
=> OP = OQ
[Diagonals of a rectangle bisect each other]
=> 3x + 2 = 2x + 5
=> 3x - 2x = 5 - 2
=> x = 3
Thus, value of x is 3.
Therefore, PR = SQ
=> PR/2 = SQ/2 [Dividing both sides by 2]
=> OP = OQ
[Diagonals of a rectangle bisect each other]
=> 3x + 2 = 2x + 5
=> 3x - 2x = 5 - 2
=> x = 3
Thus, value of x is 3.
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