In ΔABC,a=4 cm, b=6 cm and ∠C=300, then the area of the triangle is
A
12cm2
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B
6√2cm2
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C
12√3cm2
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D
6cm2
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Solution
The correct option is D6cm2 Consider the figure given. Therefore, the area of triangle
=12×base×height Area =12×AC×height =12×b×h ...(1)
From the given data, ∠BCA=300 Therefore, h=asinC Substituting in (1), we get =12×b×asinC Substituting the values of a,b,C from the given data we get Area =12(6)(4)(sin300) =14(6)(4)=6cm2