SOLUTION: The length of the base of a triangle is six times its height. If the area of the triangle is 75 square kilometers. find the height (A = 1/2 b h) I got the height = X and the ba

Algebra ->  Triangles -> SOLUTION: The length of the base of a triangle is six times its height. If the area of the triangle is 75 square kilometers. find the height (A = 1/2 b h) I got the height = X and the ba      Log On


   



Question 524722: The length of the base of a triangle is six times its height. If the area of the triangle is 75 square kilometers. find the height (A = 1/2 b h)
I got the height = X
and the base 6x
every time i plug it in i am getting 75 = 1/2 (6x)(x)
75 = (3x)(x2) then 0 = x2 +3x-75 and now i am stuck on (x+ )(x- ) can you please tell me where i am messing up thank you

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
height =x
base = 6x
Area = 1/2 * base * height
Area = 1/2 * x*6x
3x^2= 75
/3
x^2=25
sqrt%28x%5E2%29=sqrt%2825%29
x=5 km the height
Base = 30 km