document.write( "Question 363510: There are two right triangles back to back and the base of both triangles together is 20 and the two hypotenuses have a value of x. I'm supposed to find the area of the triangles together. \n" ); document.write( "
Algebra.Com's Answer #259216 by edjones(8007)![]() ![]() You can put this solution on YOUR website! Let a=the common altitude of each triangle. \n" ); document.write( "a^2+b^2=c^2 \n" ); document.write( "a^2+10^2=x^2 for one of the triangles. \n" ); document.write( "a^2=x^2-100 \n" ); document.write( "a=sqrt(x^2-100) \n" ); document.write( ". \n" ); document.write( "0.5ab=A(triangle) \n" ); document.write( "0.5*10(sqrt(x^2-100)) \n" ); document.write( "=5*sqrt(x^2-100) area of one of the triangles. \n" ); document.write( "10*sqrt(x^2-100) area of the triangles together. \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |