document.write( "Question 728416: The vertex angle of a triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in. \n" ); document.write( "
Algebra.Com's Answer #445397 by mbmodak(32)\"\" \"About 
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The vertex angle of a triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in.
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\n" ); document.write( "For Isoselese triangle
\n" ); document.write( "base=a
\n" ); document.write( "legs=b
\n" ); document.write( "base angle=beta
\n" ); document.write( "vertex angle=alpha\r
\n" ); document.write( "\n" ); document.write( "sum of 3 angles of triangle=180\r
\n" ); document.write( "\n" ); document.write( " 2*beta+alpha=180\r
\n" ); document.write( "\n" ); document.write( "altitud=h S=a*h/2\r
\n" ); document.write( "\n" ); document.write( "Area=S S=(b^2/2)*sin alpha degrees
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\n" ); document.write( "Sum of angles of triangle=180
\n" ); document.write( "2*beta+alpha=180\r
\n" ); document.write( "\n" ); document.write( "now alpha=3*beta
\n" ); document.write( "3*beta+2*beta=180
\n" ); document.write( "5*beta=180
\n" ); document.write( "beta=180/5=36 degrees
\n" ); document.write( "And alpha=3*36=108 degrees
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\n" ); document.write( "S=a*h/2
\n" ); document.write( "S=(b^2/2)*sin alpha
\n" ); document.write( "=(14^2/2)*SIN108 b is congruent side
\n" ); document.write( "93.1392
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