document.write( "Question 519614: the base and height of the triangle are in the ratio 5:3 . if the area of the triangle is 67.5 square metre; find its base and height. \n" ); document.write( "

Algebra.Com's Answer #345706 by Earlsdon(6294) $\"\"$ $\"About$

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Start with the formula for the area of a triangle:
\n" ); document.write( " $\"A+=+%281%2F2%29b%2Ah\"$ Substitute: $\"b+=+5x\"$ , $\"h+=+3x\"$ , and $\"A+=+67.5\"$
\n" ); document.write( " $\"67.5+=+%281%2F2%29%285x%29%283x%29\"$ Simplify.
\n" ); document.write( " $\"67.5+=+7.5x%5E2\"$ Divide by 7.5
\n" ); document.write( " $\"9+=+x%5E2\"$ Take the square root.
\n" ); document.write( " $\"x+=+3\"$ Discard the negative solution of $\"-3\"$
\n" ); document.write( " $\"b+=+5x\"$
\n" ); document.write( " $\"b+=+15\"$
\n" ); document.write( " $\"h+=+3x\"$
\n" ); document.write( " $\"h+=+9\"$ \n" ); document.write( "

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