a portion of a wall is a right triangle with a height that is 3 feet more than its base.If the area of the triangle is 27 square feet, find the base Solution Area of Triangle = 1/2 Base X Height => Let Y = the Base => Then Height = Y + 3 => 27 = 1/2 { Y * ( Y + 3) } => 27 = 1/2 { Y^2 + 3Y } => 54 = Y^2 + 3Y (Both side multiple by 2 to eliminate the faction) => 0 = Y^2 + 3Y - 54 => 0 = (Y+9)(Y-6) => Y = -9 or +6 => Since the absolute value of Y has to be more than 0 in order for the Triangle to be real => Y = +6 => In Co-ordinate Trigonometry, the + and - sign will mean the direction/co-odination of the triangle => Then both -9 and +6 can be the answer for the base. Answer: Base is 6 feet, Height is 9 feet. .