Question

If it's perimeter of an eqilateral triangle is 180cm what will be it's area?

Answer 1

Answer:

Step-by-step explanation:

In equilateral ∆each side is equal

So, let side to be X

X+X+X=180

3X=180

X=60

AREA OF AN EQUILATERAL ∆

√3/4 SIDE^2

√3/4*60*60

√3*15*60

900√3 cm^2

Answer 2

✬ Area = 900√3 cm² ✬

Step-by-step explanation:

Given:

• Perimeter of an equilateral triangle is 180 cm.

To Find:

• What will be the area of equilateral triangle ?

Solution: Let x cm be the sides of the equilateral triangle because all sides of an equilateral triangle are equal.

As we know that :-

★ Perimeter of ∆ = Sum of all sides ★

A/q

• Perimeter = 180 cm

$\implies{\rm }$ 180 = x + x + x

$\implies{\rm }$ 180 = 3x

$\implies{\rm }$ 180/3 = x

$\implies{\rm }$ 60 cm = x

So, the meaure of each side of equilateral triangle is 60 cm.

Now, Area :-

★ Area of Equilateral ∆ = √3(a)²/4 ★

$\implies{\rm }$ Area = √3 $\times$ (60)²/4 cm²

$\implies{\rm }$ Area = √3 $\times$ 3600/4 cm²

$\implies{\rm }$ Area = √3 $\times$ 900 cm²

$\implies{\rm }$ Area = 900√3 cm²

Hence, the area of equilateral triangle will be 900√3 cm².