Question

how many non- congruent triangles can be formed having integer side and perimeters equal to 20 units
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Answer 1

Answer:By listing all of the integeral triples that add up to 9 I get:

{1 1 7}, {1 2 6}, {1 3 5}, {1 4 4}, {2 2 5}, {2 3 4} and {3 3 3}.

Of these, I can eliminate {1 1 7}, {1 2 6}, {1 3 5} and {2 2 5} because they represent triangles whose longest side is greater than the sum of the other two sides (impossible).

So that leaves only 3 triangles that fit the bill: {1 4 4}, {2 3 4} and {3 3 3}.

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Answer 2

Answer:

10

Step-by-step explanation:

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