Math, asked by akankshash43, 11 months ago

the area of an equilateral triangle is 4√3 cm2 . Find the length of each of its sides.​

Answers

Answered by mani1286
0

Answer:

root 3 is the answer because all the sides of the equilateral trianglle is equal or 1.732cm

Answered by BrainlyKingdom
0

Answer:

\sf{Side=6cm}

Step-by-step explanation:

\textsf{Area of an Equilateral triangle }\sf{=\dfrac{\sqrt{3}}{4}\times Side^2}

  • Given Area of Equilateral Triangle = \sf{9\sqrt{3}\:cm^2}

\to\sf{9\sqrt{3}\:cm^2}\sf{\:=\dfrac{\sqrt{3}}{4}\times Side^2}

  • Multiplying Both Sides by 4

\to\sf{4\times9\sqrt{3}\:cm^2}\sf{\:=\sqrt{3}\times Side^2}

\to\sf{36\sqrt{3}\:cm^2}\sf{\:=\sqrt{3}\times Side^2}

  • Dividing Both Sides by \sf{\sqrt{3}}

\to\sf{\dfrac{36\sqrt{3}\:cm^2}{\sqrt{3}}}\sf{\:=Side^2}

\to\sf{36 \:cm^2}\sf{\:=Side^2}

  • Taking Root on Both Sides

\to\sf{\sqrt{36 \:cm^2}}\sf{\:=Side}

\to\sf{6\:cm}\sf{\:=Side}

  • Switch Sides

\to\sf{Side=6cm}

Similar questions