document.write( "Question 54594: Hi I asked this question before but forgot something How do you figure out the area of an triangle with all sides equal and the only number given is 5 thanks \n" ); document.write( "
Algebra.Com's Answer #36849 by tutorcecilia(2152)\"\" \"About 
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Since all sides are equal and I am assuming that one side = 5, than all sides =5 including the base.
\n" ); document.write( "Draw a picture of the triangle with all sides =5.
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\n" ); document.write( "Area=(1/2)(base)(height)[Formula for the area of a triangle]
\n" ); document.write( "A=(1/2)(5)(h) [Plug-in the values]
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\n" ); document.write( "To find the value of the height, use the Pythagorean Theorem:
\n" ); document.write( "a^2+b^2=c^2
\n" ); document.write( "Since entire base is 5, use (1/2)(base)=(1/2)(5)=2.5 in the Theorem:\r
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\n" ); document.write( "(2.5)^2+b^2=c^2
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\n" ); document.write( "Since all sides=5, use 5 as one side in the Theorem:
\n" ); document.write( "(2.5)^+5^2=c^2
\n" ); document.write( "6.25+25=c^2
\n" ); document.write( "31.25=c^2
\n" ); document.write( "sqrt(31.25)=sqrt(C^2)
\n" ); document.write( "5.59=c
\n" ); document.write( "5.59=height
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\n" ); document.write( "A=(1/2)bh [Plug-in the values]
\n" ); document.write( "A=(1/2)(5)(5.59)
\n" ); document.write( "A=13.9754
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\n" ); document.write( "Check by plugging all of the values back into the Pythagorean Theorem.\r
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