The perimeter of an equiateral triangle is - 3 times its area- Find the length of each side-

Let the sides be a, a, aSo a+a+a=√(3)×√(3)4a^2 ⇒ 3a=34a^2 ⇒ a=4 Length of each side =4 cm. ...

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Standard VIII

Mathematics

Triangle as Part of Rectangle

The perimeter...

Question

The perimeter of an equiateral triangle is $\sqrt{3}$ times its area. Find the length of each side.

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Solution

Let the sides be a, a, a
So $a + a + a = \sqrt{3} \times \frac{\sqrt{3}}{4} a^{2}$
$\Rightarrow 3 a = \frac{3}{4} a^{2}$
$\Rightarrow a = 4$
Length of each side $= 4$ cm.

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The perimeter of an equiateral triangle is √3 times its area. Find the length of each side.

Let the sides be a, a, aSo a+a+a=√3×√34a2⇒3a=34a2⇒a=4Length of each side =4cm.

The perimeter of an equiateral triangle is $\sqrt{3}$ times its area. Find the length of each side.

Let the sides be a, a, a
So $a + a + a = \sqrt{3} \times \frac{\sqrt{3}}{4} a^{2}$
$\Rightarrow 3 a = \frac{3}{4} a^{2}$
$\Rightarrow a = 4$
Length of each side $= 4$ cm.