document.write( "Question 287613: In a 30°- 60°- 90° right triangle, the shorter leg is 5 cm. How long are the other two sides of the triangle? \n" ); document.write( "
Algebra.Com's Answer #208422 by CharlesG2(834)\"\" \"About 
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In a 30°- 60°- 90° right triangle, the shorter leg is 5 cm. How long are the other two sides of the triangle? \r
\n" ); document.write( "\n" ); document.write( "in 30°- 60°- 90° the sides are always in ratio 1:sqrt(3):2\r
\n" ); document.write( "\n" ); document.write( "sin 30° = opp/hyp = 1/2 = 5/hyp --> 1 * hyp = 2 * 5 --> hyp = 10
\n" ); document.write( "tan 30° = opp/adj = 1/x --> x * tan 30° = 1 --> x = 1/tan 30°
\n" ); document.write( "x = 1/tan 30° --> x = sqrt(3)\r
\n" ); document.write( "\n" ); document.write( "sides are 5 cm, 5sqrt(3) cm, and 10 cm\r
\n" ); document.write( "\n" ); document.write( "pythagorean theorem a^2 + b^2 = c^2 --> 5^2 + (5sqrt(3))^2 = 25 + (25*3) = 25 + 75 = 100 --> c = 10
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