Question

Find the lenght to sides of an equilateral triangle havingarea a√3cm²

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

✪ Given :

Area of equilateral triangle = a√3 cm²

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✪ To Find :

Side of the equilateral triangle

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✪ Solution :

We know that,

$\Large{\boxed{\boxed{\purple{\sf{Area = \frac{\sqrt{3}}{4}a^2}}}}}$

(Putting Values)

$\sf{ \cancel{a \sqrt{3}} = \frac{ \cancel{\sqrt{3}} }{4} \: \cancel{{a}}^{2} } \\ \\ \sf{1 = \frac{a}{4} } \\ \\ \sf{a = 4 \: cm}$

$\rule{200}{2}$

✪ Additional information :

• All sides of equilateral triangle are equal

• Angles of equilateral triangle is 60°.

• Formula to Find area of equilateral triangle is (√3/4) Side².

$\rule{200}{2}$

#answerwithquality

#BAL