document.write( "Question 1100602: I badly need help with this problem, can someone please have an illustration of how it can be drawn. Ultimate thanks to everyone who would answer.\r
\n" ); document.write( "\n" ); document.write( "A triangle ABC with an obtuse angle A is inscribed in a circle. The altitude BD of the triangle is tangent to the circle. Find the altitude if the side AC=48cm, and segment AD=12cm.
\n" ); document.write( "a) 23.4 cm
\n" ); document.write( "b) 21.73 cm
\n" ); document.write( "c) 22.1 cm
\n" ); document.write( "d) 26.83 cm \n" ); document.write( "

Algebra.Com's Answer #715122 by ikleyn(52810) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "It is very easy.    First make a sketch  to follow my explanations.\r\n" );
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document.write( "You have DB as a tangent line to the circle released from the point D outside the circle..\r\n" );
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document.write( "You have DC as a secant line to the circle released from the point D outside the circle.\r\n" );
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document.write( "Now, you should use this property \r\n" );
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document.write( "    If a tangent and a secant lines are released from a point outside a circle,  then the product of the measures \r\n" );
document.write( "    of the secant and its external part is equal to the square of the tangent segment. \r\n" );
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document.write( "It is well known property of tangent segments and secants.\r\n" );
document.write( "See the lesson  Metric relations for a tangent and a secant lines released from a point outside a circle in this site.\r\n" );
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document.write( "In your case you need to find the altitude BD, which is the tangent to the circle, as it is given.\r\n" );
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document.write( "Your secant DC has the total length of 48+12 = 60 cm.\r\n" );
document.write( "Its external part is 12 cm long.\r\n" );
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document.write( "So,  |DB|^2 = |DC|*|DA| = 12*60 = 720,\r\n" );
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document.write( "hence  |DB| =  = 26.83 cm.    Option d)\r\n" );
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\n" ); document.write( "Also, you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( " GEOMETRY - YOUR ONLINE TEXTBOOK \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"Properties of circles, inscribed angles, chords, secants and tangents \".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in GEOMETRY
\n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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