document.write( "Question 841430: Hello,
\n" ); document.write( "I want to know, Does the median from the vertex of 90 degree angle to the hypotenuse bisects the \"Angle\" in equal parts?
\n" ); document.write( "Or it is only in the case of isosceles triangle?\r
\n" ); document.write( "\n" ); document.write( "And I would like to know more about the properties of median and altitude of a right angle triangle. \n" ); document.write( "

Algebra.Com's Answer #506918 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
The median emanating from the 90 deg angle bisects the right angle only when the triangle is a right isosceles triangle.\r
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\n" ); document.write( "\n" ); document.write( "Let ABC be the right triangle with right angle A, and let M be the midpoint of BC. It can be shown that BM = CM = AM, as M is the circumcenter. Triangles BMA and CMA are isosceles, so if angle MAB = angle MAC = 45 deg, this implies angle B = angle C = 45 deg (right isosceles triangle). \n" ); document.write( "

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