document.write( "Question 204845: 1.) a triangle legs 8 base of 10 vertex angle at 78 degrees what is the base angle X in degrees.\r
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document.write( "2. A triangle with one of the leg is 8 base is 10 the vertex angle 63 degrees base angle is 54 degrees What is the other leg X?\r
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Algebra.Com's Answer #154658 by RAY100(1637) ![]() You can put this solution on YOUR website! (1) sum of angles in triangle is 180 degrees \n" ); document.write( ". \n" ); document.write( "78 +x +x =180,,x= 51 degrees, ( 2 legs @ 8 cause isosceles triangle with base angles the same) \n" ); document.write( ". \n" ); document.write( "check (sin 78 / 10) = .0978,,,(sin 51 / 8 = .0971),,,,ok (obeys law of sines) \n" ); document.write( ". \n" ); document.write( "(2) Please check to see that problem is correct \n" ); document.write( ". \n" ); document.write( "sum of angles,,(63 + 54 +x ) =180,,,cause x to be 63. \n" ); document.write( ". \n" ); document.write( "With the base opposite vertex, it conflicts with law of sines, to have base smaller than sides. \n" ); document.write( ". \n" ); document.write( "if base angles are 63,and sides are 10,,,sin 63 /10 = .0891.. \n" ); document.write( ". \n" ); document.write( "the side opposite the 54 degree angle is ,,sin 54/x = .0891,,,or x=9.08 \n" ); document.write( ". \n" ); document.write( "Again,, please review the problem \n" ); document.write( " |