Mathematics
In the given figure, BP and CQ are two medians of the △ABC. If BC = 12 cm, the length of QP =
4 cm
6 cm
8 cm
10 cm
Mid-point Theorem
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Answer
We know that,
Median drawn from the vertex bisects the opposite side.
Since, CQ is the median to AB.
⇒ AQ = BQ
Since, BP is the median to AC
⇒ AP = CP
By mid-point theorem,
The line segment joining the mid points of any two sides of a triangle is parallel to the third side and is equal to half of it.
Since, Q and P are the mid-points of AB and AC respectively.
⇒ QP || BC and QP = BC
⇒ QP = × 12
⇒ QP = 6 cm.
Hence, option 2 is the correct option.
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