document.write( "Question 534327: I have a triangle with a 52\" base and the 45 degree angles what is the measurement from the base to the top I am not a math wizard just a quilter.\r
\n" ); document.write( "\n" ); document.write( "thanks for your time
\n" ); document.write( "

Algebra.Com's Answer #351535 by fcabanski(1391)\"\" \"About 
You can put this solution on YOUR website!
Check my profile and contact me for one on one online tutoring.

\r
\n" ); document.write( "\n" ); document.write( "If you mean the base is 52, and the two angles formed by the base and the two sides are 45 degrees, and the vertex angle is 90:

\r
\n" ); document.write( "\n" ); document.write( "The line drawn from the base to the vertex is the height of the triangle.

\r
\n" ); document.write( "\n" ); document.write( "That line is 26 inches high. Because:

\r
\n" ); document.write( "\n" ); document.write( "The line bisects the base, thus the base of the new triangle formed with the height as one side, and half the base as the base, is 26 ((1/2)*52).

\r
\n" ); document.write( "\n" ); document.write( "That base is opposite the original vertex angle that is now bisected. It was a 90 degree angle, now it's a 45 degree angle.

\r
\n" ); document.write( "\n" ); document.write( "The base is opposite one 45 degree angle, and the height is opposite another 45 degree angle. The sides opposite congruent angles are congruent. \n" ); document.write( "

\n" );