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Maths Set Theory and Relations General Numeric Response
Published on: August 13, 2026

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

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Text Solution

Verified by Experts
The correct answer is:
9

(9)

Let the length of the shortest side of the triangle be .

Then, length of the longest side
Length of the third side
Since the perimeter of the triangle is at least 61 cm.




Thus, the minimum length of the shortest side is 9 cm.

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