Question

if perimeter of equilateral triangle is 90cm then find its area​

Answer 1

389.71 cm^2

Hope it helps you

Answer 2

Explanation:

Find the length of the triangle:

Perimeter = 3 x Length

90 = 3 x Length

Length = 90 ÷ 3

Length = 30 cm

Find the area of the equilateral triangle:

\text {Area = } \dfrac{\sqrt{3} }{4} \text{ side}^2Area =

4

3

side

2

\text {Area = } \dfrac{\sqrt{3} }{4} (\text{30}^2)Area =

4

3

(30

2

)

\text {Area = } \dfrac{\sqrt{3} }{4} (900)Area =

4

3

(900)

\text {Area = } 225\sqrt{3}Area = 225

3

\text {Area = } 389.71 \text { cm}^2Area = 389.71 cm

2

Answer: Area = 389.71 cm²