IPMAT Indore 2024 (SA) - The number of triangles with integer sides and with perimeter 15 is: | PYQs + Solutions | AfterBoards
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IPMAT Indore 2024

Geometry
>
Triangles

Easy

The number of triangles with integer sides and with perimeter 15 is:

Entered answer:

Correct Answer: 7
A short trick:
No. of tríangles if perimeter is odd: (p+3)248\dfrac{(p+3)^{2}}{48}
No. of tríangles if perimeter is even: (p)248\dfrac{(p)^{2}}{48}
If the answer has decimals, round it off!
In this case: 18248=32448=6.75≈7\frac{18^2}{48} = \frac{324}{48} = 6.75 \approx 7

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