document.write( "Question 1185559: Q: Let the vertices of triangle be (0, 0), (3, 0) and (0, 4). Find its:
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Algebra.Com's Answer #816390 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Q: Let the vertices of triangle be (0, 0), (3, 0) and (0, 4). Find its:
\n" ); document.write( "(i) Orthocenter (ii) Radius of the inscribed circle
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document.write( "You can make a sketch, or, like me, simply look attentively at coordinates of the vertices.\r\n" );
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document.write( "Then you will notice that the triangle is a RIGHT-ANGLED triangle with the right angle vertex \r\n" );
document.write( "at the origin of the coordinate system.\r\n" );
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document.write( "THEREFORE, the othocenter (the intersection point of altitudes) is the origin point (0,0).\r\n" );
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document.write( "Next, in a right angled triangle, the radius of incribed circle is\r\n" );
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document.write( "    r = ,\r\n" );
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document.write( "where P and B are the legs and H is the hypotenuse.\r\n" );
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document.write( "In your case,  P = 3,  B = 4, H = 5, THEREFORE, the radius of the inscribed circle is\r\n" );
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document.write( "    r =  =  = 1 unit.\r\n" );
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