Question
Download Solution PDFThe perimeter of a triangle with sides of integer values is equal to 13. How many such triangles are possible?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
If the perimeter of the triangle is "p"
Let Total possible triangles "t"
If p = even, then
t = p2/48
If p = odd, then
t = (p + 3)2/48
Calculation:
According to the question,
Total possible triangles = (13 + 3)2/48
⇒ 5.33 ≈ 5
∴ Total possible triangles are 5.
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