document.write( "Question 749006: XYZ is an equileteral triangle of length 10cm. Find:
\n" ); document.write( "a) calculate the height if the triangle using pythagoras theorem.
\n" ); document.write( "b) calculate the area of the triangle
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Algebra.Com's Answer #455722 by timvanswearingen(106)\"\" \"About 
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The height would be drawn from a vertex to the midpoint of the opposite side. Setting up a right triangle and using the Pythagorean Theorem:\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2%2B5%5E2=10%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2%2B25=100\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=75\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+sqrt%2875%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+sqrt%2825%29%2Asqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+5%2Asqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "The height is:\r
\n" ); document.write( "\n" ); document.write( "\"5%2Asqrt%283%29cm\"\r
\n" ); document.write( "\n" ); document.write( "Area is 1/2*base*height. The base is 10 and we just found the height:\r
\n" ); document.write( "\n" ); document.write( "\"A=1%2F2%2A10cm%2A5%2Asqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "\"A=5%2A5cm%2Asqrt%283%29cm\"\r
\n" ); document.write( "\n" ); document.write( "\"A=25%2Asqrt%283%29+cm%5E2\"
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