SOLUTION: the area of a triangle is 20 square centimeters. what are the possible whole-number dimensions for the base and height of the triangle?

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Question 271612: the area of a triangle is 20 square centimeters. what are the possible whole-number dimensions for the base and height of the triangle?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
the area of a triangle is 20 square centimeters. what are the possible whole-number dimensions for the base and height of the triangle?
Area of triangle = 1/2 * base * height
20 = 1/2 *base * height
40 = base * height
factors of 40 are 2*2*2*5
The possible base and height are 2*2*2 & 5 8 and 5
2*5 & 2*2 10 and 4

Answer by ikleyn(53742) About Me  (Show Source):
You can put this solution on YOUR website!
.
the area of a triangle is 20 square centimeters. what are the possible whole-number dimensions
for the base and height of the triangle?
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        The solution by @mananth is incomplete and written in an inappropriate form.

        I came to bring a normal Math solution. 


In this problem,  %281%2F2%29%2Abase%2Aheight = 20 cm^2,  so

                  base*height = 40.


The possible integer values (base,height) are listed in the table below.


    base    height

      1       40
      2       20
      4       10
      5        8
      8        5
     10        4
     20        2
     40        1


I simply listed all possible ordered pairs of mutually-complementary divisors.

That's all.