document.write( "Question 281782: The measures of the sides of an isosceles triangle are 10, 10, and 4. Find the measure of a base angle to the nearest degree.
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document.write( "a. 23
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document.write( "b. 60
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document.write( "c. 78
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document.write( "d. 85 \n" );
document.write( "
Algebra.Com's Answer #204714 by stanbon(75887) ![]() You can put this solution on YOUR website! The measures of the sides of an isosceles triangle are 10, 10, and 4. Find the measure of a base angle to the nearest degree. \n" ); document.write( "--------------- \n" ); document.write( "Use Law of Cosines: \n" ); document.write( "cos(A) = (b^2 + c^2 - a^2)/2bc \n" ); document.write( "Find the angle opposite 4: \n" ); document.write( "cos(A) = (10^2 + 10^2-4^2)/(2*10*10) \n" ); document.write( "cos(A) = (84)/200 = 0.42 \n" ); document.write( "cos^-1(0.42) = 65 degrees \n" ); document.write( "---- \n" ); document.write( "Each base angle = (180-65)/2 = 57.5 degrees\r \n" ); document.write( "\n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "a. 23 \n" ); document.write( "b. 60 \n" ); document.write( "c. 78 \n" ); document.write( "d. 85 \n" ); document.write( " \n" ); document.write( " |