Question

the perimeter of a equilateral triangle is 60m the area is ​

Answer 1

Answer:

\begin{gathered}Area\: of\:an\\\: equilateral \:triangle (A)\\≈173.2 m^{2}\end{gathered}Areaofanequilateraltriangle(A)≈173.2m2

Step-by-step explanation:

Let side of an equilateral triangle= a m

i) Perimeter of equilateral (P)=60m /* given */

=> 3a = 60 m

Divide each term by 3, we get

=> a = 20 m

Now,

\begin{gathered}Area\: of\:an\\\: equilateral \:triangle (A)\\=\frac{\sqrt{3}}{4}\times a^{2}\end{gathered}Areaofanequilateraltriangle(A)=43×a2

\begin{gathered}=\frac{\sqrt{3}}{4}\times (20)^{2}\\=\frac{\sqrt{3}}{4}\times 400\\=100\sqrt{3}\\=100\times 1.732\\=173.2 m^{2}\end{gathered}=43×(20)2=43×400=1003=100×1.732=173.2m2

Therefore,

\begin{gathered}Area\: of\:an\\\: equilateral \:triangle (A)\\≈173.2 m^{2}\end{gathered}Areaofanequilateraltriangle(A)≈173.2m2

•

Answer 2

Answer:

Perimeter of equilateral triangle =3×side

60=3×sides

Side=20 cm

Area of equilateral triangle =

4

3

×(side)

2

=

4

3

×20×20

=100

3

cm

2