document.write( "Question 727386: 1. Find the volume of a right triangular prism whose height is 100 cm and whose base is a right triangle with a hypotenuse of 30 cm in length and an angle to 60 degrees.
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Algebra.Com's Answer #445084 by josgarithmetic(39617) $\"\"$ $\"About$

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The base 30-60-90 triangle is half of an equilateral triangle, so using L for the unknown long leg of this triangle, $\"L%5E2%2B15%5E2=30%5E2\"$ . The 15 is half a side of the equilateral triangle giving us the given base triangle.\r
\n" ); document.write( "\n" ); document.write( " $\"L=sqrt%2830%5E2-15%5E2%29\"$ comes from the just given equation. Now, area of this base triangle is $\"%281%2F2%2915sqrt%2830%5E2-15%5E2%29\"$ . The prism is 100 cm high, so the volume of this prism is then $\"%281%2F2%29%2A100%2A15sqrt%2830%5E2-15%5E2%29\"$ cm^2.\r
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\n" ); document.write( "\n" ); document.write( "With simplification, volume may be shown as $\"750sqrt%28675%29=11250sqrt%283%29\"$ . \n" ); document.write( "

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