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Maths-

General

Easy

Question

In $triangle A B C$ If $stack A P with bar on top$ bisects $angle A B comma stack B P with bar on top$ bisects ÐABC $stack A P with bar on top equals square root of 3 comma stack B P with bar on top equals square root of 3$ and CP = 3 then find Area of $triangle A B C$ .

4
$4 \sqrt{2}$
$3 \sqrt{3}$
6

The correct answer is: $3 square root of 3$

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The three s ides of $triangle A B C$ are extended as shown so that $B D equals fraction numerator 1 over denominator 2 end fraction A B comma C E equals fraction numerator 1 over denominator 2 end fraction B C$ and $A F equals fraction numerator 1 over denominator 2 end fraction C A$ Find the ratio of the area of $capital delta D E F$ to that of $triangle A B C.$

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