Question

14. The perimeter of an
equilateral triangle is
3 times its area. Find the length of each side.​

Answer 1

Answer:

We know that perimeter of an equilateral triangle = 3a.

Also,

We know that Area of equilateral triangle = \frac{\sqrt{3}}{4} a^2

4

3

a

2

According to the question,

3a = \sqrt{3} * \frac{\sqrt{3}}{4} a^23a=

3

∗

4

3

a

2

= > 3a = \frac{\sqrt{3} * \sqrt{3}}{4} a^2=>3a=

4

3

∗

3

a

2

= > 3a = \frac{3}{4}a^2=>3a=

4

3

a

2

= > a = 4.

Therefore, the length of each side = 4units

Hope this helps!