document.write( "Question 22790: The height of a triangle is one-half the length of the base. The area of the triangle 144in exponent 2. Find the height of the triangle. \n" ); document.write( "
Algebra.Com's Answer #11174 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Area of a triangle = (1/2) (base)(height)
\n" ); document.write( "Let the base be \"b\"; then the height is (1/2)b
\n" ); document.write( "Equation:
\n" ); document.write( "144 sq in = (1/2)(b)((1/2)(b))
\n" ); document.write( "144 = (1/4)b^2
\n" ); document.write( "(4)(144) = b^2
\n" ); document.write( "b = 2(12)
\n" ); document.write( "b = 24 inches
\n" ); document.write( "h = 12 inches
\n" ); document.write( "
\n" );