In the figure, P is the mid-point of AB and PQ ∥ BC. Find x and y.
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Given: P is the mid-point of AB and PQ ∥ BC.
To find: Here we have to find the value of $x$ and $y$.
Solution:
Since P is the mid point of AB
Therefore,
PQ = $\frac{1}{2}$(BC)
8 cm = $\frac{1}{2}$(BC)
BC = 2 $\times$ 8 = 16 cm
Since Q is the midpoint of AC:
AQ = $\frac{1}{2}$(QC)
QC = $\frac{1}{2}$(3) cm
QC = 1.5 cm
Therefore, $x$ = 1.5 cm and $y$ = 16 cm.
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