The height of a triangle is 4 centimeters greater than the base. The area of the triangle is 240 square centimeters. Find the length of the base and the height of the triangle.
Well, the formula for area if a triangle is length x height divided by two. So you work backwards using the given area of the triangle.
so (1/2)base times height = area height=x+4 base=x x/2 times x+4=240 multiply both sides by 2 x+x+4=480 2x+4=480 subtract 4 from both sides 2x=476 base=238 cm height=238+4=242