SOLUTION: The base of a triangular sail is 19 m shorter than its height. The area is 145 m squared . Find the base and height of the sail.

Algebra ->  Length-and-distance -> SOLUTION: The base of a triangular sail is 19 m shorter than its height. The area is 145 m squared . Find the base and height of the sail.      Log On


   

Question 1056745: The base of a triangular sail is 19

m shorter than its height. The area is 145 m squared .

Find the base and height of the sail.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let h be the height of the sail. Then it's base is h-19. So:
1/2(h)(h-19)=145
h²-19h-290=0
(h-29)(h+10)=0
h=29, -10
The height of the sail is 29 m; the base is 10 m. ☺☺☺☺