document.write( "Question 1166324: If triangle ABC is isosceles, B is the vertex angle, AB = 20x + 10, BC = 13x + 66, and AC= 25x, find x and the measure of each side of the triangle \n" ); document.write( "

Algebra.Com's Answer #790814 by ikleyn(52872) $\"\"$ $\"About$

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document.write( "Solve this equation\r\n" );
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document.write( "    20x + 10 = 13x + 66\r\n" );
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document.write( "and find x =  = 8.\r\n" );
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document.write( "Now evaluate the length of each side\r\n" );
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document.write( "    AB = 20*8 + 10 = 170 \r\n" );
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document.write( "    BC = AB        = 170\r\n" );
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document.write( "    AC = 25*8      = 200.\r\n" );
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document.write( "The triangle inequalities are satisfied, so the triangle does exist.\r\n" );
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document.write( "ANSWER.  The side lengths are 170, 170 and 200.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "I went all this way / (all the steps) with you to show you that every step is necessary, especially checking the triangle inequalities at the end.\r
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