Perimeter of a △ with integer sides is equal to 15. How many such triangles…
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Perimeter of a △ with integer sides is equal to 15. How many such triangles are possible?
Answer: A. 7 — Let us assume a ≤ b ≤ c. a = 1, Possible triangle 1, 7, 7 a = 2, possible triangle 2, 6, 7 a = 3, possible triangles 3, 6, 6 and 3, 5, 7 a = 4, possible…
- A.
7
- B.
6
- C.
8
- D.
5
Attempted by 10 students.
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Correct answer: A
Let us assume a ≤ b ≤ c.
a = 1, Possible triangle 1, 7, 7
a = 2, possible triangle 2, 6, 7
a = 3, possible triangles 3, 6, 6 and 3, 5, 7
a = 4, possible triangles 4, 4, 7 and 4, 5, 6
a = 5, possible triangle is 5, 5, 5
There are totally 7 triangles possible.
The question is "Perimeter of a △ with integer sides is equal to 15. How many such triangles are possible?"
Hence, the answer is 7.
Choice A is the correct answer.
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