document.write( "Question 73740: The area of the triangle is 100a^3b square units. Find the height of the triangle.
\n" ); document.write( "The length is 20a^2 \n" ); document.write( "

Algebra.Com's Answer #52709 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"Area=%28base%2Aheight%29%2F2\"$ Use this to find the height
\n" ); document.write( " $\"100a%5E3b=%2820a%5E2%2Aheight%29%2F2\"$ Solve for height by multiplying both sides by $\"2%2F20a%5E2\"$
\n" ); document.write( " $\"%282%2Fcross%2820%29a%5Ecross%282%29%29100a%5E3b=height\"$ compute 2(100/20)=10 and divide exponents by subtraction
\n" ); document.write( " $\"height=10ab\"$ Simplify
\n" ); document.write( "Check:
\n" ); document.write( " $\"Area=%28base%2Aheight%29%2F2\"$ Use this to check
\n" ); document.write( " $\"100a%5E3b=%2820a%5E2%2A10ab%29%2F2\"$
\n" ); document.write( " $\"100a%5E3b=%28200a%5E3b%29%2F2\"$
\n" ); document.write( " $\"100a%5E3b=100a%5E3b\"$ Works \n" ); document.write( "

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