JEE PYQ: Properties Of Triangle Question 4
Question 4 - 2019 (10 Apr Shift 2)
The angles A, B and C of a triangle ABC are in A.P. and $a : b = 1 : \sqrt{3}$. If $c = 4$ cm, then the area (in sq.cm) of this triangle is:
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(1) $\frac{2}{\sqrt{3}}$
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(2) $4\sqrt{3}$
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(3) $2\sqrt{3}$
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(4) $\frac{4}{\sqrt{3}}$
Show Answer
Answer: (3) $2\sqrt{3}$
Solution
A, B, C in A.P. $\Rightarrow B = 60^\circ$. Using cosine rule with $c = 4$: $x = 2$. Area $= 2\sqrt{3}$ sq. cm.
BETA
