Question

Area of a equilateral triangle with side √3/4 is

Answer 1

Answer:

To Find:-

Area of the equilateral triangle of side √¾.

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We know,

Area of an equilateral triangle = √¾ s²

where, s = Side.

Side given = √¾

Therefore, it's area :-

√¾ (√¾)²

(Arranged an expression as per the formula)

= √¾(¾)

(Simplification 1; simplified √¾²)

= 3√3/4√4

(Answer)

$\tt{(\frac{3 \sqrt{3}}{4 \sqrt{4}})}$

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Required Answer:-

Therefore, area of the equilateral ∆ is $\tt{(\frac{3 \sqrt{3}}{4 \sqrt{4}})}$.

Tip:- You can also use the heron's formula to fetch the answer.

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(TheAssassin's ADVICE:-

If you're confused with the formula, try this:-

• Draw a rough figure of an equilateral triangle of side (s) .
• Draw a perpendicular from the base which connects the top of the triangle.
• Find the altitude using the pythagoras theorem.
• Put it in the formula (½ × base × height), you'll get the formula.

)

Answer 2

$\frac{3√3}{64} {cm}^{2}$