Question

Find area of an equilateral triangle whose each side is:(1) 12 cm (2) 5 cm.

Answer 1

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Answer 2

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

62.28 cm² , 10.81cm²

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

✯ 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 * (12)²/4

⇒ Area = √3 * 144 / 4

⇒ Area = 1.73 * 144/4

⇒ Area = 62.28

⇒ Area = 62.28 cm²

$\large{\star{\boxed{\boxed{\bf{\purple{Area \: = \: 62.28^{2}}}}}}}$

✯ 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 * (5)²/4

⇒ Area = √3 * 25 / 4

⇒ Area = 1.73 * 25/4

⇒ Area = 10.81

⇒ Area = 10.81 cm²

$\large{\star{\boxed{\boxed{\bf{\purple{Area \: = \: 10.81^{2}}}}}}}$

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