Question

The perimeter of an
an equilateral triangle
is 90 cm, what is its area .​

Answer 1

Answer:

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

plz mark me as brainliest ☺️

Answer 2

Answer:

The perimeter of equilateral triangle =90 cm. And we know that the side of equilateral Δ are equal.

So, : A+B+C=90CM

: x+x+x=90cm

: 3x =90cm

:x= 90/3=30 cm

Side = 30cm

Area =√3/4*s²

=√3/4*900 cm ²

=225√3 cm²

Glad I could help you.

Thanks