document.write( "Question 852223: Isosceles triangle ABC
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document.write( "AB = 5cm
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document.write( "BC=AC
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document.write( "A = 70 degrees = B
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document.write( "Work out the degrees of the remaining angles and the length of the other sides of the triangle \n" );
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Algebra.Com's Answer #513245 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Isosceles triangle ABC \n" ); document.write( "AB = 5cm \n" ); document.write( "BC=AC \n" ); document.write( "A = 70 degrees = B \n" ); document.write( "Work out the degrees of the remaining angles and the length of the other sides of the triangle \n" ); document.write( "--------- \n" ); document.write( "Draw the figure and label the parts. \n" ); document.write( "Since angle A = angle B = 70, angle C = 40 degrees \n" ); document.write( "------- \n" ); document.write( "So AB = 5 cm, and AB is opposite C. \n" ); document.write( "---- \n" ); document.write( "Draw a perpendicular bisector from C to AB. \n" ); document.write( "That creates 2 right triangles. \n" ); document.write( "------- \n" ); document.write( "Base of the right triangle is (1/2)5 = 2.5 cm \n" ); document.write( "The base angle is 70 degrees. \n" ); document.write( "The height of the perpendicular bisector is 2.5*tan(70) = 6.87 \n" ); document.write( "------ \n" ); document.write( "The hypotenuse = 6.87/sin(70) = 7.31 cm = AC \n" ); document.write( "------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |