document.write( "Question 202822: I would appreciate help with this, I am on the SECOND semester of this class, due to this proof and I am about to run out of time. I have submitted this 4x and each time it is wrong. Please help me out, thanks!\r
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document.write( "Prove: If the base angles of a triangle are congruent, then the triangle is isosceles.\r
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document.write( "Given: Triangle BAC with angle B = angle C
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document.write( "To Prove: Triangle is isosceles.\r
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document.write( "Construction:
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document.write( "Draw a perpendicular line from vertex A on side BC which meets side BC at L.\r
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Algebra.Com's Answer #152989 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Prove: If the base angles of a triangle are congruent, then the triangle is isosceles. \r \n" ); document.write( "\n" ); document.write( "Given: Triangle BAC with angle B = angle C \n" ); document.write( "To Prove: Triangle is isosceles. \n" ); document.write( "Construction: \n" ); document.write( "Draw a perpendicular line from vertex A on side BC which meets side BC at L. \n" ); document.write( "---------------------- \n" ); document.write( "Draw triangle ABC with B = C \n" ); document.write( "------------------------ \n" ); document.write( "Draw a perpendicular from A to side BC forming Angle ALB and Angle ALC \n" ); document.write( "-------------------------- \n" ); document.write( "Prove ABC is isosceles. \n" ); document.write( "---------------------------- \n" ); document.write( "Proof: \n" ); document.write( "B = C---------------------------Given \n" ); document.write( "Angle ALB1 = Angle ALC = 90-----def of perpendicular line \n" ); document.write( "AL = AL-------------------------identity \n" ); document.write( "tri LBA congruent to tri LCA----angle-side-angle theorem \n" ); document.write( "BA = CA-------------------------corresponding parts of congruent triangles \n" ); document.write( "tri ABC is isosceles------------definition of isosceles triangle \n" ); document.write( "====================================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |