SOLUTION: the base of a triangle is 1in more than twice the height find the base and the height if the area of the triangle is 14sq in

Algebra ->  Triangles -> SOLUTION: the base of a triangle is 1in more than twice the height find the base and the height if the area of the triangle is 14sq in      Log On


   

Question 1151729: the base of a triangle is 1in more than twice the height find the base and the height if the area of the triangle is 14sq in
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

You are given


    %281%2F2%29%2Ah%2A%282h%2B1%29 = 14,


which implies


    h*(2h+1) = 28.


Multiply both sides by 2. You will get


    2h*(2h+1) = 56.


Recalling that 56 = 7*8, it makes it obvious that 2h = 7.


Hence, h = 3.5 inches for the height and  2*3.5 + 1 = 8 inches for the base.

Answer.

----------------

Surely, you can complete the solution via formal algebra;
but I showed you much shorter and simpler way.