SOLUTION: 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.

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.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The base 30-60-90 triangle is half of an equilateral triangle, so using L for the unknown long leg of this triangle, . The 15 is half a side of the equilateral triangle giving us the given base triangle.
comes from the just given equation. Now, area of this base triangle is . The prism is 100 cm high, so the volume of this prism is then cm^2.

With simplification, volume may be shown as .
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