Question

The area of a triangle is 56 square centimeters. Give all possible sets of whole number dimensions for the base and height of the triangle.

Answer 1

area=(bh)/2
56x2=bh
108=bh
there are too many possbilities
b=3 h=36 for example

Answer 2

The area of a triangle is given by one-half base times height. So...

56 = 0.5bh

We can divide both sides by 0.5 to isolate the bh...

112 = bh

Now to find all the possible combinations for the base and height, we need to find the factors of 112. They are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.

So the possible sets are:

1 and 112
2 and 56
4 and 28
7 and 16
8 and 14

Hope this helps :)