If the perimeter of an equilateral triangle is 12 cm then the length of each median is

2 \sqrt{5}

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\sqrt{3}

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2 \sqrt{3}

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3 \sqrt{2}

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Solution

The correct option is C $2 \sqrt{3}$ cm
Given perimeter of equilateral triangle is 12 cm
Then length of side= $\frac{p e r i m e t e r}{3} = \frac{12}{3} = 4$ cm
We know that medians m of equilateral triangle= $\frac{\sqrt{3}}{2} a$ (where a is the length of sides)
$∴ m = \frac{\sqrt{3}}{2} 4 \Rightarrow m = 2 \sqrt{3}$ cm

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If the perimeter of an equilateral triangle is 12 cm then the length of each median is

The correct option is C 2√3 cmGiven perimeter of equilateral triangle is 12 cmThen length of side=perimeter3=123=4 cmWe know that medians m of equilateral triangle=√32a (where a is the length of sides)∴m=√324⇒m=2√3 cm