if x is the side of an equilateral triangle ABC , prove that the area of the triangle is equal to root 3 by 4 x square
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X is the side of equilateral triangle.
area of triangle = 1/2 × b × h
taking AB as median which is perpendicular to base.
( x/2)²+x²= AB²
AB² = 4x²-x²/4
AB = √3x /2 = height
area of triangle = 1/2 × √3x/2 × x
= √3x ² /4
area of triangle = 1/2 × b × h
taking AB as median which is perpendicular to base.
( x/2)²+x²= AB²
AB² = 4x²-x²/4
AB = √3x /2 = height
area of triangle = 1/2 × √3x/2 × x
= √3x ² /4
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make an equilateral triangle. and draw a line perpendicular to BC
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