Mathematics
In parallelogram PQRS, L is mid-point of side SR and SN is drawn parallel to LQ which meets RQ produced at N and cuts side PQ at M. Given, RN = 25 cm calculate the length of SP.
Mid-point Theorem
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Answer
12.5 cm
Reason
In △ SRN :
L is mid-point of SR and LQ // SN [Given]
∴ LQ bisects RN [Line through mid-point of one side of a △ and parallel to another side bisects the third side]
i.e., RQ = QN = RN
⇒ RQ = RN
We know that,
Opposite sides of a parallelogram are equal.
∴ SP = = 12.5 cm
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