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The largest side of a triangle is twice ...

The largest side of a triangle is twice the smallest side. Its largest side is 3 cm more than the third side. Find the minimum length of the smallest side if the minimum perimeter of the triangle is 62 cm.

Text Solution

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Let smallest side = x cm
`:. Largest side = 2x cm`
and` thrid side (3x -3)` cm
Now given that ` x + 2x (2x-3) ge 62`
`rArr 5x - 3 ge 62`
`rArr 5x ge 65`
`rArr ge` 13
`:.` Minimum length of smallest side = 13 cm .
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