document.write( "Question 548848: write an indirect proof for the following statements:
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Algebra.Com's Answer #357249 by Edwin McCravy(20055) $\"\"$ $\"About$

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\n" ); document.write( "1. a scalene triangle cannot have 2 congruent angles.
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document.write( "For contradiction, assume that a scalene triangle \r\n" );
document.write( "(a triangle has no sides congruent and has two congruent angles.\r\n" );
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document.write( "If two angles of a triangle are congruent, the sides opposite these angles are congruent.\r\n" );
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document.write( "That contradicts the assumption that it has no sides congruent.\r\n" );
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\n" ); document.write( "2. an isosceles triangle cannot have a base angle that is a right angle.
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document.write( "For contradiction, assume that isosceles triangle ABC has congruent legs\r\n" );
document.write( "AB and AC, and base angle A that is a right angle.\r\n" );
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document.write( "The base angles A and B of an isosceles triangle are congruent.\r\n" );
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document.write( "Therefore base angles A and B are both right angles.\r\n" );
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document.write( "The base BC is perpendicular to the legs AB and AC\r\n" );
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document.write( "Two lines perpendicular to the same line are parallel.\r\n" );
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document.write( "AB and AC do not intersect because parallel lines do not intersect.\r\n" );
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document.write( "That contradicts the fact that we have a triangle ABC at all.\r\n" );
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document.write( "Edwin

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