Question

the perimeter of equilateral triangle is 60m then what is the area

Answer 1

Answer:

side=60/3

=20m

Area=√3/4×side²

= √3/4×20×20

= 1.732 × 100

= 173.2m²

Step-by-step explanation:

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Answer 2

Question :–

The perimeter of equilateral triangle is 60m then what is the area.

Given :–

• Perimeter of an equilateral triangle = 60 m

To Find :–

• Area of an equilateral triangle.

Solution :–

Let, the side of an equilateral triangle be a

So,

→ 3a = 60 m

→ a = $\sf \frac{\cancel{60}}{\cancel{3}}$

→ a = 20 m

• Area of an equilateral triangle = $\sf \frac{3}{4} {(a)}^{2}$

→ $\sf\frac{ \sqrt{3} }{4} \times {(20)}^{2}$

→ $\sf \frac{ \sqrt{3} }{ \cancel4} \times 20 \times \cancel{20}$

→ $\sf\sqrt{3} \times 20 \times 5$

→ $\sqrt{3} \times 100$

→ $\sf100 \sqrt{3} \: {m}^{2}$

We know that,

√3 = 1.732 (approx.)

So,

→ 1.732 × 100

→ 173.2 $\: \sf {m}^{2}$