Question 51
In $$\triangle ABC$$, P and Q are the mid-points of the sides AB and AC, respectively. R is a point on the segment PQ such that PR : RQ = 1 : 3. If PR = 4 cm, then BC is equal to:
Solution
Pr : RQ = 1:3
If PR = 4 cm, then RQ = 3*4 = 12 cm.
This gives PQ = 16 cm.
Using mid point theorem, PQ is parallel to and half of BC.
BC = 2 * PQ = 32 cm.
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