Posted by **Sadie** on Tuesday, June 2, 2009 at 6:04pm.

The base of a triangle is 3 cm greater than the height. The area is 14cm^2. Find the length and height of the base.

- math -
**MathMate**, Tuesday, June 2, 2009 at 6:12pm
The area of a triangle is

A = base * height /2

If you have not learned to solve quadratic equations before, then think of

2A = base * height

Since A=14, 2A = 28

Look for two integers that multiply together to give 28, but with a difference of 3 between them.

If you have learned quadratic equations, then let

h=height

b=base = h+3

Using the area formula above, you'll get

A=14 = h(h+3)/2

from which you can solve for the height h. The base is simply h+3.

- math -
**Reiny**, Tuesday, June 2, 2009 at 6:13pm
let the height be x cm

then the base is x+3 cm

x(x+3)/2 = 14

solve for x

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