document.write( "Question 965840: An isosceles triangle with an altitude that measures 1.5 feet and congruent sides of 2.5 feet has a perimeter of ... \n" ); document.write( "

Algebra.Com's Answer #590324 by Fombitz(32388) $\"\"$ $\"About$

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Find the vertex half-angle using the height and side.
\n" ); document.write( " $\"cos%28V%2F2%29=1.5%2F2.5\"$
\n" ); document.write( " $\"cos%28V%2F2%29=0.6\"$
\n" ); document.write( " $\"V%2F2=53.13\"$
\n" ); document.write( " $\"V=106.26\"$
\n" ); document.write( "The other two angles are found using the sum of the angles,
\n" ); document.write( " $\"X%2BX%2BV=180\"$
\n" ); document.write( " $\"2X=73.74\"$
\n" ); document.write( " $\"X=36.87\"$
\n" ); document.write( "Then use the law of sines to find the other side.
\n" ); document.write( " $\"sin%28106.26%29%2FY=sin%2836.87%29%2F2.5\"$
\n" ); document.write( " $\"Y=2.5%2A%28sin%28106.26%29%2Fsin%2836.87%29%29\"$
\n" ); document.write( " $\"Y=4\"$
\n" ); document.write( "So the perimeter would be,
\n" ); document.write( " $\"P=2.5%2B2.5%2B4\"$
\n" ); document.write( " $\"P=9\"$ $\"ft\"$
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