document.write( "Question 446465: The vertices of the triangle are A(6,1), B(6,7) and C(10,7) show that the triangle is right angled and find it's sides? \n" ); document.write( "

Algebra.Com's Answer #853329 by ikleyn(53427) $\"\"$ $\"About$

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\n" ); document.write( "The vertices of the triangle are A(6,1), B(6,7) and C(10,7) show that the triangle is right angled and find it's sides?
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\n" ); document.write( "\n" ); document.write( " It is so simple . . . - much simpler than you think.\r
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document.write( "The side AB is vertical line x = 6,  since points A and B have the same x-coordinate 6.\r\n" );
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document.write( "The side BC is horizontal line y = 7, since points B and C have the same y-coordinate 7.\r\n" );
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document.write( "        Therefore, triangle ABC is a right-angled triangle.\r\n" );
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document.write( "The length of side AB is the difference y-coordinates points A and B  |7-1| = 6 units.\r\n" );
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document.write( "The length of side BC is the difference x-coordinates points B and C  |10-6| = 4 units.\r\n" );
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document.write( "The hypotenuse  AC has the length   =  =  units.\r\n" );
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\n" ); document.write( "\n" ); document.write( "At this point, the problem is solved completely: all questions are answered.\r
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\n" ); document.write( "\n" ); document.write( "You do not need to make complicated reasoning or complicated calculations, as @mananth does.\r
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\n" ); document.write( "\n" ); document.write( "This problem teaches you to retrieve out geometric information from coordinates
\n" ); document.write( "of given points in coordinate plane.\r
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