Question

Find the height and area of an equilateral triangle with side 10 cm.

Answer 1

Answer:

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Step-by-step explanation:

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Answer

Answer 2

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☞ Height = 5√3

☞ Area = 25√3

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$\huge\sf\blue{Given}$

✭ There is an equilateral triangle of side 10 cm

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$\huge\sf\gray{To \:Find}$

◈ The hight and the area of the triangle?

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$\huge\sf\purple{Steps}$

❍ Height of an equilateral triangle is given by,

$\underline{\boxed{\sf \dfrac{\sqrt{3}}{2} \times side }}$

Substituting the given values,

➢ $\sf \dfrac{\sqrt{3}}{2}\times 10$

➢ $\sf\sqrt{3}\times 5$

➢ $\sf \orange{Height = 5\sqrt{3}}$

❍ Area of an equilateral triangle is given by,

$\underline{\boxed{\sf \dfrac{\sqrt{3}}{4}\times side^2}}$

Substituting the given values,

➳ $\sf\dfrac{\sqrt{3}}{4}\times 10^2$

➳ $\sf\dfrac{\sqrt{3}}{4}\times 100$

➳ $\sf\sqrt{3}\times 25$

➳ $\sf\red{25\sqrt{3}}$

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