Posted by **jackie** on Thursday, September 2, 2010 at 1:07pm.

The base of a triangle is 3cm grater than the height. The area is 14cm^2. Find the height and length of the base. Please show how you dervied at your answer.

- algebra -
**Henry**, Thursday, September 2, 2010 at 10:24pm
h = x-cm

b = (x + 3) cm

A = 14 cm^2

A = h * b / 2,

x(x + 3) / 2 = 14cm^2

Multiply both sides by 2:,

x(x + 3) = 28,

x^2 + 3x = 28,

x^2 + 3x - 28 = 0,

Factor the trinomial:

(x - 4) (x + 7) = 0,

x + 7 = 0, x = - 7;

x - 4 = 0 , x = 4 cm = h,

x + 3 = 4 + 3 = 7 cm = b

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