SOLUTION: The sail on a sailboat is shaped like a​ triangle, with an area of 50 square feet. The height of the sail is 9 feet more than the base of the sail. Find the base and height o

Algebra ->  Test -> SOLUTION: The sail on a sailboat is shaped like a​ triangle, with an area of 50 square feet. The height of the sail is 9 feet more than the base of the sail. Find the base and height o      Log On


   



Question 1110896: The sail on a sailboat is shaped like a​ triangle, with an area of 50 square feet. The height of the sail is 9 feet more than the base of the sail. Find the base and height of the sail.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the base of the sail be x
the height is (x+9)
Area = 50 ft^2
Area of triangle = 1/2 * base * height
50 = 1/2(x) (x+9)
100 = x^2+9x
x^2+9x-100=0
solve using quadratic formula
x= 6.47 ft