document.write( "Question 1104721: Given: ΔABC, AB = BC = AC= a. Find: The area of ΔABC \n" ); document.write( "

Algebra.Com's Answer #719695 by Alan3354(69443) $\"\"$ $\"About$

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It's an equilateral triangle with sides = a
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\n" ); document.write( "base b = a
\n" ); document.write( "Height h = sqrt(a^2 - (a/2)^2) = a*sqrt(3)/2
\n" ); document.write( " $\"Area+=+b%2Ah%2F2+=+a%5E2%2Asqrt%283%29%2F4\"$
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\n" ); document.write( "For any regular polygon with n sides = s:
\n" ); document.write( "Area = ns^2*cot(180/n)/4
\n" ); document.write( "= 3a^2*cot(60)/4
\n" ); document.write( "= a^2*sqrt(3)/4 ---- same answer
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