Math, asked by mom0an1yaAabsmary, 1 year ago

Find the area of an equilateral triangle each of whose side measures(1) 18cm (2)20cm Take root 3 as 1.73

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Answered by kokan6515
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Answered by Anonymous
44

\large{\mathfrak{\underline{\underline{\red{Answer:-}}}}}

140.13 cm² , 173cm²

{\mathfrak{\underline{\underline{\blue{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}}}}}}

_________________[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}}}}}}}

✯ 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}}}}}}

_________________[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}}}}}}}

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