document.write( "Question 973279: The length of the base of an isosceles triangle is 30m. The angle opposite the base measures 32° find the perimeter of the triangle to the nearest metre. \n" ); document.write( "

Algebra.Com's Answer #595509 by Edwin McCravy(20086) $\"\"$ $\"About$

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The length of the base of an isosceles triangle is 30m. The angle opposite the
\n" ); document.write( "base measures 32° find the perimeter of the triangle to the nearest metre.
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document.write( "We draw the isosceles triangle, letting the two equal sides \r\n" );
document.write( "be x meters long each:\r\n" );
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document.write( "Now we draw an altitude, which is also a median, a perpendicular bisector\r\n" );
document.write( "of the base and the bisector of the vertex angle, which cuts the triangle \r\n" );
document.write( "into two congruent right triangles.\r\n" );
document.write( "Therefore the 32° angle is cut into two 16° angles and the 30m base is cut \r\n" );
document.write( "into two 15m segments:\r\n" );
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document.write( "Looking at either of the two congruent right triangles,\r\n" );
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document.write( "Multiply both sides by x\r\n" );
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document.write( "Divide both sides by sin(16°)\r\n" );
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document.write( "Use calculator:\r\n" );
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document.write( "So the 3 sides of the triangle are\r\n" );
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document.write( "30m, 54.41932918m, 54.41932918m\r\n" );
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document.write( "So the perimeter is the sum of the three sides,\r\n" );
document.write( "or\r\n" );
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document.write( "perimeter = 138.83865836m\r\n" );
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document.write( "To the nearest meter is 139m\r\n" );
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document.write( "Edwin

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