jezzsk8 wrote:

How do you determine the maximum value of the base is 4 for the triangle rule to be valid? Like is it always p/2 and if so why?

IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .

(A-B) < third side < (A+B)

SInce the perimeter is 8, the triangle rule to satisfy if we consider integer value is 3.

Here the base is 2 and the other two sides is 3, here it satisfy the triangle equation.

Now area = 1/2 *2 * 3 (since the maximum value of altitude < 3)

=3

But the sides can also be fraction and still the sides can be add upto = 8.

So I considered the maximum value of the base to be 4 and still it is < 8.

Hence B >A .

If you are unclear let me know.

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