document.write( "Question 1154275: Apply the Angle-Bisector Theorem to the smallest angle of the right triangle whose sides are 1, 2, and the square root of 3. The side of length 1 is divided by the bisector into segments of what lengths? Using a calculator, check your answer for the tangent of a 15-degree angle.
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Algebra.Com's Answer #776706 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The two sides of the bisected angle have lengths 2 and sqrt(3); so the side of length 1 is divided into two parts in the ratio 2:sqrt(3).

\n" ); document.write( "For calculating the tangent of 15 degrees, the side opposite the 15 degree angle has length

\n" ); document.write( " $\"sqrt%283%29%2F%282%2Bsqrt%283%29%29\"$

\n" ); document.write( "Then, since the side adjacent to the 15 degree angle has length sqrt(3), the tangent of the 15 degree angle is

\n" ); document.write( " $\"%28sqrt%283%29%2F%282%2Bsqrt%283%29%29%29%2Fsqrt%283%29\"$ = 0.2679491924

\n" ); document.write( "Evaluating the tangent of 15 degrees directly yields the same value.

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