document.write( "Question 925202: the ratio of the base of an isosceles triangle to its altitude is 3:4. find the measures of the angles of the triangle. \n" ); document.write( "

Algebra.Com's Answer #561625 by KMST(5328) $\"\"$ $\"About$

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\n" ); document.write( "The altitude splits tat isosceles triangle into two congruent right triangles.
\n" ); document.write( " $\"tan%28red%28X%29%29=1.5%2F4=0.375\"$
\n" ); document.write( "Looking up the angle that has such a tangent, we find an approximate measure:
\n" ); document.write( " $\"red%28X%29=20.556%5Eo\"$ (feel free to round that to less decimal places)
\n" ); document.write( "So, the angle at the vertex measures $\"2red%28X%29=2%2A20.556%5Eo=highlight%2841.112%5Eo%29\"$ .
\n" ); document.write( "The angles at the base have the same measure, $\"B\"$ , and we know that
\n" ); document.write( " $\"B%2Bred%28X%29=180%5Eo\"$ --> $\"B%2B20.556%5Eo=90%5Eo\"$ --> $\"B=90%5Eo-20.556%5Eo\"$ --> $\"B=highlight%2869.444%5Eo%29\"$ \n" ); document.write( "

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