lexijacobs508 lexijacobs508
  • 25-02-2022
  • Mathematics
contestada

An equilateral triangle has height of 13. The perimeter is 321 feet. What is the area of the triangle?

Respuesta :

Aisin
Aisin Aisin
  • 25-02-2022

Answer:

4957.56

Step-by-step explanation:

Call the 3 sides of the triangle as a,b,c.

We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.

To calculate an area of an equilateral triangle, we can use the formula :

[tex]\sqrt{3}\\[/tex]/4 x [tex]a^{2}[/tex]

=> A = [tex]\sqrt{3}\\[/tex]/4 x [tex]107^{2}[/tex] = approx. 4957.56



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