If the area of an equilateral triangle is 36 -3-cm2- find its perimeter

Area of equilateral triangle of side a = √(3)/ 4× a^2 √(3)/ 4× a^2 = 36 √(3) a^2 = 36 × 4 a = 12 perimeter of equilateral triangle = 3a = 3 × 12 = 36 cm. ...

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Mathematics

Area of a Triangle

If the area o...

Question

If the area of an equilateral triangle is 36 $\sqrt{3} c m^{2}$ , find its perimeter

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Solution

Area of equilateral triangle of side a $= \frac{\sqrt{3}}{4} \times a^{2}$
$\frac{\sqrt{3}}{4} \times a^{2} = 36 \sqrt{3}$
$a^{2} = 36 \times 4$
a = 12
perimeter of equilateral triangle = 3a = 3 $\times$ 12 = 36 cm.

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If the area of an equilateral triangle is 36 √3 cm2, find its perimeter

Area of equilateral triangle of side a =√34×a2 √34×a2=36√3 a2=36×4 a = 12 perimeter of equilateral triangle = 3a = 3 × 12 = 36 cm.

If the area of an equilateral triangle is 36 $\sqrt{3} c m^{2}$ , find its perimeter

Area of equilateral triangle of side a $= \frac{\sqrt{3}}{4} \times a^{2}$
$\frac{\sqrt{3}}{4} \times a^{2} = 36 \sqrt{3}$
$a^{2} = 36 \times 4$
a = 12
perimeter of equilateral triangle = 3a = 3 $\times$ 12 = 36 cm.