emdedovic emdedovic
  • 06-08-2020
  • Mathematics
contestada

Please help being timed!!! Given: △ABC AB=BC=AC Area of △ABC= 25 3 4 cm2 Find: The perimeter

Respuesta :

thepingu
thepingu thepingu
  • 06-08-2020

Answer:

15 cm

Step-by-step explanation:

The area of an equilateral triangle is:

[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.

We can find the value of a (the length) by:

[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]

[tex]a^2 = 25[/tex]

a = 5, so the side length of this triangle is 5 cm.

The perimeter of an equilateral triangle will be 3 times the length.

[tex]3\cdot5=15[/tex]

Hope this helped!

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