document.write( "Question 145756: How do you find the hieght of a triangle if you already know the measurements of all three sides? \n" ); document.write( "

Algebra.Com's Answer #106395 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is cool, you can solve it by Pythagorean theorem.
\n" ); document.write( "From the \"tip\" where 2 lines meet draw a line straight to your base (which cuts that into half) and that is your height, right? --mark this \"a\".
\n" ); document.write( "And the base that cuts into half mark \"b\", & the new dimension=\"b/2\"
\n" ); document.write( "Then that diagonal line that connects the tip of the line you draw (as height)
\n" ); document.write( "to the end tip of the base, mark it as \"c\"= hypotenuse.
\n" ); document.write( "by Pyth. theorem,
\n" ); document.write( " $\"c%5E2+=+a%5E2+%2B+%28b%2F2%29%5E2\"$
\n" ); document.write( " $\"a%5E2+=+c%5E2+-+%28b%2F2%29%5E2\"$
\n" ); document.write( " $\"a=+sqrt%28c%5E2+-+%28b%2F2%29%5E2%29\"$ --------- This will be your height remember? And you can solve now since you know the dimensions of all the sides.
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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