Question

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 61 cm, find the minimum length of the shortest side.​

Answer 1

⠀⠀ıllıllı uoᴉʇnloS ıllıllı

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

Then, length of the longest side = 3x Cm

Length of the third side = (3x - 2) Cm

Since, the perimeter of the triangle is at least 61 Cm,

x Cm + 3x Cm + (3x - 2) Cm ≥ 61 Cm

➠ 7x - 2 ≥ 61

➠ 7x ≥ 61 + 2

➠ 7x ≥ 63

➠ 7x/7 ≥ 63/7

➠ x ≥ 9

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

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Answer 2

Step-by-step explanation:

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