document.write( "Question 181366: The Base of the triangle is 4 inches longer than the length of one of the other sides. Use a system of equations to find the length of each side of the triangle. Perimeter =46 inches \n" ); document.write( "
Algebra.Com's Answer #136190 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The Base of the triangle is 4 inches longer than the length of one of the other sides. Use a system of equations to find the length of each side of the triangle. Perimeter = 46 inches \n" ); document.write( ": \n" ); document.write( "It doesn't say it is a right triangle, so there is no unique solution \n" ); document.write( ": \n" ); document.write( "designate the 3 sides as a, b, c \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\" Base of the triangle is 4 inches longer than the length of one of the other sides.\" \n" ); document.write( "b = (a + 4) \n" ); document.write( "and \n" ); document.write( "a = (b - 4) \n" ); document.write( ": \n" ); document.write( "\"Perimeter = 46 inches\" \n" ); document.write( "a + b + c = 46 \n" ); document.write( "Substitute (a+4) for b \n" ); document.write( "a + (a+4) + c = 46 \n" ); document.write( "2a + c = 46 - 4 \n" ); document.write( "2a + c = 42 \n" ); document.write( "c = (42 - 2a) \n" ); document.write( " \n" ); document.write( " |