document.write( "Question 499316: the length of the hypotenuse of a right triangle is 13 cm, and the length of one leg is 12 cm. What is the area of the triangle? \n" ); document.write( "
Algebra.Com's Answer #337543 by oberobic(2304)\"\" \"About 
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Using the Pythagorean Theorem, we know
\n" ); document.write( "c^2 = a^2 + b^2
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\n" ); document.write( "c^2 = 13^2
\n" ); document.write( "c^2 = 169
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\n" ); document.write( "a = base
\n" ); document.write( "a = 12
\n" ); document.write( "a^2 = 12^2
\n" ); document.write( "a^2 = 144
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\n" ); document.write( "b = height
\n" ); document.write( "b^2 = c^2 - a^2
\n" ); document.write( "b^2 = 169 - 144
\n" ); document.write( "b^2 = 25
\n" ); document.write( "b = 5
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\n" ); document.write( "Area = 1/2*base*height.
\n" ); document.write( "A = 1/2*12*5
\n" ); document.write( "A = 30 sq cm
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\n" ); document.write( "Done.
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