In an equilateral triangle ABC if AB=20 cm find its area.
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Correct option is
D
129.75cm2
△ABC and △EBD are equilateral triangles. So, all their sides will be equal.
In △ABC,
AB=BC=AC=20 cm ...(Given)
Area of △ABC=43a2
=43(202)=43×400=3×100
=1.73×100=173 ...( Given3=1.73)
In △EBD,
EB=BD=ED=10 cm ...(As D is mid point of BC and divides the line BC equally into BD and DC)
Area of △EBD=43a2
=43(102)=43×100=3
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