document.write( "Question 67713: how do I find the area of a equilateral triangle by only knowing one side of it which is ten ft. I know this is not where I submit this problem but I have a hard time finding the right place to go thank you \n" ); document.write( "
Algebra.Com's Answer #48171 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! how do I find the area of a equilateral triangle by only knowing one side of it which is ten ft \n" ); document.write( ": \n" ); document.write( "Draw the triangle, draw the height of the triangle which you need to find the area. \n" ); document.write( ": \n" ); document.write( "Notice that it bisects the base giving you 2 right triangles with one side of 5 ft and the hypotenuse of 10. The third side is the height of the triangle, we can find that by using the pythagorean theorem: \n" ); document.write( ": \n" ); document.write( "Let the unknown side be = h \n" ); document.write( "5^2 + h^2 = 10^2 \n" ); document.write( "25 + h^2 = 100 \n" ); document.write( "h^2 = 100 - 25 \n" ); document.write( "h^2 = 75 \n" ); document.write( "h = SqRt(75) \n" ); document.write( "h = 8.66 ft \n" ); document.write( ": \n" ); document.write( "Find the area: \n" ); document.write( "A = .5*b*h \n" ); document.write( "A = .5*10*8.66 \n" ); document.write( "A = 43.3 sq ft \n" ); document.write( " |