Math, asked by fashiismail43, 10 months ago

Perimeter of equilateral triangle is 24cm if it's height is 6cm. Find it's area?

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Answered by mjha79706
3

Answer:

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Answered by spacelover123
4

Equilateral Triangle -:

  • A triangle whose all three sides are equal is known as an Equilateral Triangle.
  • Each angle in such a triangle is 60°.
  • The sides of an equilateral triangle are congruent.
  • The formula to find the area of an equilateral triangle is ⇒ \frac{\sqrt{3} }{4} s^{2}
  • We can construct an equilateral triangle of a given side length using just a compass and straightedge.

Perimeter of equilateral triangle = 24cm

Each side =  8cm

Area of an equilateral triangle = \frac{\sqrt{3} }{4}s^{2}  

⇒  \frac{\sqrt{3} }{4} *8^{2}

⇒  \frac{\sqrt{3} }{4} *64

\sqrt{3} *16

16\sqrt{3}

∴ The area of this Equilateral triangle is 16\sqrt{3}.

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