Question

find the area of an equilateral triangle each of whose side measure 20 CM take 3 is equal to 1.73​

Answer 1

Answer:

Area of Equilateral Triangle =

4

3

b

2

where b is the Side of the Triangle.

Area=

4

3

×20

2

Area=173.2cm

2

Answer 2

140.13 cm² , 173cm²

{\mathfrak{\underline{\underline{\blue{Step-By-Step-Explanation:-}}}}}

Step−By−Step−Explanation:−

✯ Case 1

➭ We know that sides of equilateral Δs are equal.

We will use here formula :-

\large{\underline{\boxed{\bf{\orange{Area \: of \: equilateral \: {\triangle} \: = \: {\frac{{\sqrt{3}}}{4}} {\times} Side^{2}}}}}}

Areaofequilateral△=

4

3

×Side

2

_________________[Put Values]

Area = √3 * (18)²/4

⇒ Area = √3 * 324 / 4

⇒ Area = 1.73 * 324/4

⇒ Area = 140.13

⇒ Area = 140.13 cm²

\large{\star{\boxed{\boxed{\bf{\purple{Area \: = \: 140.13^{2}}}}}}}⋆

Area=140.13

2

✯ Case 2

➭ We know that sides of equilateral Δs are equal.

We will use here formula :-

\large{\underline{\boxed{\bf{\orange{Area \: of \: equilateral \: {\triangle} \: = \: {\frac{{\sqrt{3}}}{4}} {\times} Side^{2}}}}}}

Areaofequilateral△=

4

3

×Side

2

_________________[Put Values]

Area = √3 * (20)²/4

⇒ Area = √3 * 400 / 4

⇒ Area = 1.73 * 400/4

⇒ Area = 173

⇒ Area = 173 cm²

\large{\star{\boxed{\boxed{\bf{\purple{Area \: = \: 173cm^{2}}}}}}}⋆

Area=173cm

2