document.write( "Question 573525: How do you find the area of a trapezoid when you are only given the bases, 8 and 16 and one of the angles is 60. How do I figure out the height with the 30,60,90? \n" ); document.write( "

Algebra.Com's Answer #368798 by stanbon(75887) $\"\"$ $\"About$

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How do you find the area of a trapezoid when you are only given the bases, 8 and 16 and one of the angles is 60. How do I figure out the height with the 30,60,90?
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\n" ); document.write( "Draw the picture with the top base being 8.
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\n" ); document.write( "Draw a line segment from the upper left vertex to the base.
\n" ); document.write( "Draw a line segment from the upper right vertex to the base.
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\n" ); document.write( "See the rectangle you have formed; the top and bottom are 8.
\n" ); document.write( "That leaves 4 of the base on the left and 4 of the base on the right.
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\n" ); document.write( "You have a 30-60 degree triangle with side opposite the 30 degree
\n" ); document.write( "angle = 4; so the slant height = 8
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\n" ); document.write( "Solve for the vertical height (H)
\n" ); document.write( "(H)^2 + 4^2 = 8^2
\n" ); document.write( "H^2 = 64-16 = 48
\n" ); document.write( "H = 4sqrt(3)
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\n" ); document.write( "Area of trapezoid = (1/2)h(sum of bases)
\n" ); document.write( "= (1/2)(4sqrt(3))(24)
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\n" ); document.write( "= 48sqrt(3) sq units
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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