Hi,

Let h represent its height ⇒ b = (h-7)

A =    

              h^2 - 7h - 1394 = 0     Factor

              (h - 41)(x+34) = 0    (Tossing out the negative solution for unit measure)

                  h = 41 in

     

Answer by chndnbl(31)   (Show Source): You can put this solution on YOUR website!
 Let height= h=x inches

base=b=x-7 inches

area of triangle = 697 square inches

(1/2)*b*h = 697

1/2 * x-7 * x = 697

x^2-7x = 1394

x^2 - 7x - 1394=0

solve this quadratic equation , find the roots of x. Then substitute in the base.  

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