Question

If the area of an equilateral triangle is 81V3sq cm. Find its side.​

Answer 1

Question :-

If the area of an equilateral triangle is 81V3sq cm. Find its side.

Answer :-

• Side is 18cm.

Step by step explanation :-

Given :

• Area of equilateral triangle is 81√3 cm².

Need to find :

• Side of equilateral triangle

Using formula :

$\bullet \: \sf{Area_{(Equilateral \: triangle)} = \frac{ \sqrt{3} }{4} side {}^{2} }$

Now,

$:\longmapsto \sf{81 \sqrt{3} = \frac{ \sqrt{3} }{4}side {}^{2} } \\ \\ :\longmapsto \sf{ \frac{81 \sqrt{3} }{ \sqrt{3} } = 4side {}^{2} } \: \: \: \\ \\ :\longmapsto \sf{side {}^{2} = 81 \times 4 \: \: \: \: } \\ \\ :\longmapsto \sf{side {}^{2} = 324 } \: \: \: \: \: \: \: \: \\ \\ \rm{taking \: square \: root \: of \: both \: sides} \\ \\ :\longmapsto \sf{side = 18cm}$

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