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triangle is equilateral



therefore x=10 root3

area = 6 * area of right angle triangle

area = 6* 1/2*10 root 3* 10

area =300 root 3

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Let ABC be the equilateral triangle and circle with centre O touching triangle at point P,Q and R.
join OR.
Now in triangle OQC 
tan30=OQ/QC     =   1/√3=10/QC
and BC=20√3
area of equilateral triangle=√3/4*a²
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