document.write( "Question 970248: the parallel sides of a trapezoid are of length 3 and 6cm. if the third side measures 5cm and the last side is perpendicular to the first two, what is the area of the trapezoid? \n" ); document.write( "
Algebra.Com's Answer #592897 by macston(5194)\"\" \"About 
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A right triangle is formed with the third side as hypotenuse(=5cm), the difference between the two bases as one leg(a=6cm-3cm=3cm) And the height of the trapezoid as the other leg (b):
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\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
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\n" ); document.write( "\"b=sqrt%28c%5E2-a%5E2%29\"
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\n" ); document.write( "\"b=sqrt%28%285cm%29%5E2-%283cm%29%5E2%29\"
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\n" ); document.write( "\"b=sqrt%2825cm%5E2-9cm%5E2%29\"
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\n" ); document.write( "\"b=sqrt%2816cm%5E2%29\"
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\n" ); document.write( "\"b=4cm\" The height of the trapezoid is 4 centimeters.
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\n" ); document.write( "Area of trapezoid:
\n" ); document.write( "y=longer base; x=shorter base; h=height; A=area
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\n" ); document.write( "\"A=%28%28x%2By%29%2F2%29h\"
\n" ); document.write( "\"A=%28%283cm%2B6cm%29%2F2%294cm\"
\n" ); document.write( "\"A=%289cm%2F2%29%284cm%29\"
\n" ); document.write( "\"A=%284.5cm%29%284cm%29\"
\n" ); document.write( "\"A=18cm%5E2\"
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\n" ); document.write( "ANSWER: The area of the trapezoid is 18 square centimeters.
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