Eley,

The area of a triangle is one-half the base times the height. You have an area of 32.4 square units and a base of 6.75 units. If the height is h units then

32.4 = 1/2 × 6.75 × h.

Solve for h.

Penny

For a triangle

Area = base x height /2

Put in numbers: say we had area 100 and base 20

100 = 20 x height / 2

Now isolate the unknown on one side by doing the same thing to both sides. For instance, to get rid of the "/2" you can multiply both sides by 2 and the equations remains valid:

100 x 2 = 20 x height
200 = 20 x height
200/20 = height
10 = height

Good Hunting!
-RD