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Question 74
A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of the following is necessarily true?
Solution
We can see that area of parallelogram ABCD = 2*Area of triangle ACD
48 = 2*Area of triangle ACD
Area of triangle ACD = 24
$$(1/2)*CD*DA*sinADC=24$$
$$AD*sinADC=6$$
We know that $$sin\theta$$ $$\leq$$ 1, Hence, we can say that AD $$\geq$$ 6
$$\Rightarrow$$ s $$\geq$$ 6
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