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In ∆ABC, P and Q are the middle points of the sides AB and AC, respectively. R is point on the segment PQ such that PR: RQ = 1:3. If PR = 6cm, then th
Question

In ∆ABC, P and Q are the middle points of the sides AB and AC, respectively. R is point on the segment PQ such that PR: RQ = 1:3. If PR = 6cm, then the value of BC :

A.

46 cm

B.

48 cm

C.

44 cm

D.

50 cm

Correct option is B

PR : RQ = 1 : 3
PR = 6 cm
The line segment in a triangle joining the midpoint of any two sides
is parallel to its third side and is also half of the length of the third side.
Calculation:

PR : PQ = 1 : 3
1 unit = 6 cm
PQ = 4 units = 4 × 6 = 24 cm
Then the value of BC = 24×2 = 48 cm

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