Question 271612
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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.



<pre>
In this problem,  {{{(1/2)*base*height}}} = 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.
</pre>