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

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

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Standard IX

Mathematics

Area of an Equilateral 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 the equilateral triangle of side a = $\frac{\sqrt{3}}{4} \times a^{2}$
$\frac{\sqrt{3}}{4} \times a^{2}$ = 36√3
$a^{2}$ = 36 x 4
a = 12
Perimeter of equilateral triangle = 3a = 3 x 12 = 36 cm

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

Area of the equilateral triangle of side a = √34×a2 √34×a2 = 36√3 a2 = 36 x 4 a = 12 Perimeter of equilateral triangle = 3a = 3 x 12 = 36 cm

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

Area of the equilateral triangle of side a = $\frac{\sqrt{3}}{4} \times a^{2}$
$\frac{\sqrt{3}}{4} \times a^{2}$ = 36√3
$a^{2}$ = 36 x 4
a = 12
Perimeter of equilateral triangle = 3a = 3 x 12 = 36 cm