document.write( "Question 549918: find the height of a isosceles triangle whose base is 10cm and legs are 20 cm (leave your answer in simplest radical form) \n" ); document.write( "
Algebra.Com's Answer #358183 by KMST(5328)\"\" \"About 
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The height is \"h\", the length of the altitude through the vertex. It is a median and part of the perpendicular bisector of the base. It divides the isosceles triangle into two symmetrical, congruent right triangles.
\n" ); document.write( "With all lengths in cm, Pythagoras' theorem says that
\n" ); document.write( "\"h%5E2%2B5%5E2=20%5E2\" --> \"h%5E2%2B25=400\" --> \"h%5E2=400-25=375\" --> \"h=sqrt%28375%29=sqrt%2825%2A15%29=sqrt%2825%29%2Asqrt%2815%29=5sqrt%2815%29\"
\n" ); document.write( "That's an irrational number, and its exact value cannot be expressed in decimal form.
\n" ); document.write( "It's approximately 19.365, or 19.36, or 19.4 (depending on how precise you want to be).
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