document.write( "Question 660149: If triangle A'B'C' is the image of ABC after a dilation using a scale factor of 2 with respect to the origin, how many square units are in the area of triangle A'B'C'? The measures are A(-4, 7), B(3, -2), and C(8, -2). \n" ); document.write( "

Algebra.Com's Answer #411079 by KMST(5328) $\"\"$ $\"About$

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Triangle ABC has a horizontal side BC of length $\"8-3=5\"$ which we can take as the base, with a height of $\"h=7-%28-2%29=9\"$
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The area of triangle ABC is $\"base%2Aheight%2F2=5%2A9%2F2=45%2F2=22.5\"$
\n" ); document.write( "Dilating the triangle by a factor of $\"2\"$ ,
\n" ); document.write( "dilates every side (and base and height) by a factor of $\"2\"$ ,
\n" ); document.write( "and it increases the area by a factor of $\"2%5E2=4\"$ .
\n" ); document.write( "So the area of the dilated triangle is
\n" ); document.write( " $\"4%2A45%2F2=highlight%2890%29\"$ \n" ); document.write( "

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