document.write( "Question 1200868: The vertices of triangle ABC are A(11,3), B(2k, k) and C(-1,-11).
\n" ); document.write( "(a) Find the two possible values of k if angle ABC is 90°.
\n" ); document.write( "(b) Draw the diagrams to show the two possible triangles \n" ); document.write( "

Algebra.Com's Answer #835117 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The vertices of triangle ABC are A(11,3), B(2k, k) and C(-1,-11).
\n" ); document.write( "(a) Find the two possible values of k if angle ABC is 90°.
\n" ); document.write( "(b) Draw the diagrams to show the two possible triangles.
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\n" ); document.write( "\n" ); document.write( "How the problem is posed/worded/formulated in the post,
\n" ); document.write( "its educational meaning disappeared, in full.\r
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\n" ); document.write( "\n" ); document.write( "Meanwhile, the meaning can be restored and problem can be nicely presented
\n" ); document.write( "as a nice problem, if to re-formulate it in a right way.\r
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\n" ); document.write( "\n" ); document.write( "This right way to re-formulate is as follows:\r
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document.write( "    The vertices of triangle ABC are A(11,3), B(2k, k) and C(-1,-11).\r\n" );
document.write( "    How to construct geometrically the point B (two possible positions)\r\n" );
document.write( "    in a way that the triangle ABC be a right-angled triangle with the right angle at B ?\r\n" );
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\n" ); document.write( "\n" ); document.write( "Then the answer (the geometric construction) is as follows:\r
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\r\n" );
document.write( "    (a)  draw a circle with the diameter AC;\r\n" );
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document.write( "    (b)  then draw the straight line y = .\r\n" );
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document.write( "    (c)  Two intersection points of the line with the circle will give \r\n" );
document.write( "         two possible positions/locations of the vertex B.\r\n" );
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