document.write( "Question 552375: How do you find the area, in square meters, of an equilateral triangle with a perimeter of 36 m. \n" ); document.write( "
Algebra.Com's Answer #360302 by neatmath(302)\"\" \"About 
You can put this solution on YOUR website!

There are a couple different ways to do this.
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\n" ); document.write( "\n" ); document.write( "One, you can divide the triangle up into 2 right triangles to more easily use the standard area of a triangle formula.
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\n" ); document.write( "\n" ); document.write( "Of course we know that formula to be:
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\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29%2Ab%2Ah\" where b is the base and h is the height.
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\n" ); document.write( "\n" ); document.write( "Or two, you can use the formula for the area of an equilateral triangle!
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\n" ); document.write( "\n" ); document.write( "This formula is:
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\n" ); document.write( "\n" ); document.write( "\"A=%28sqrt%283%29%2F4%29%2Aa%5E2\" where a is the length of a side of the triangle.
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\n" ); document.write( "\n" ); document.write( "Since the perimeter of your triangle is 36 m,
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\n" ); document.write( "\n" ); document.write( "then each side must measure 36/3, or 12 m.
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\n" ); document.write( "\n" ); document.write( "So we just need to plug this value of a=12 into the formula:
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\n" ); document.write( "\n" ); document.write( "\"A=%28sqrt%283%29%2F4%29%2Aa%5E2\"
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\n" ); document.write( "\n" ); document.write( "\"A=%28sqrt%283%29%2F4%29%2A12%5E2\"
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\n" ); document.write( "\n" ); document.write( "\"A=%28sqrt%283%29%2F4%29%2A144\"
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\n" ); document.write( "\n" ); document.write( "\"A=sqrt%283%29%2A36\"
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\n" ); document.write( "\n" ); document.write( "\"A=36%2Asqrt%283%29\" meters squared which is the exact answer.
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\n" ); document.write( "\n" ); document.write( "You can use a calculator to find the approximate decimal equivalent,
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\n" ); document.write( "\n" ); document.write( "but that is up to you to decide whether you need that.
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\n" ); document.write( "\n" ); document.write( "I hope this helps! :)
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\n" ); document.write( "\n" ); document.write( "Email Scott: neatmath@yahoo.com for help with specific problems,
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\n" ); document.write( "\n" ); document.write( "or to inquire about mathematics tutoring via email or other methods.
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\n" ); document.write( "\n" ); document.write( "Paypal is always accepted for single problems or for more intensive tutoring!
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\n" ); document.write( "\n" ); document.write( "Single problems would range from 50 cents to 5 dollars each, depending on their complexity.

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