25. 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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Payal Gupta | Contributor-Level 10

9 months ago

25. Let x cm be the shortest side of the triangle.

Thus, the other 2 sides are “3x” cm and “3x - 2” cm

Given, perimeter of A triangle ≥ 61

x + 3x - 3x- 2 ≥ 61

7x - 21 ≥ 61

7x ≥ 61 + 21

$\Rightarrow x \geq \frac{82}{7}$

x ≥ 9.

The minimum length of the shortest side is 9 cm.

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