shamiyahdixon9143 shamiyahdixon9143
  • 10-08-2018
  • Mathematics
contestada

HELP!!!



If the perimeter of an equilateral triangle is 30 ft, what is the area?

A) 25√2 sq. ft.

B) 25√3 sq. ft.

C) 50√3 sq. ft.

Respuesta :

bunnymarshmarloykw47
bunnymarshmarloykw47 bunnymarshmarloykw47
  • 10-08-2018
To find the area,we can use Heron’s formula:
[tex]s = \frac{perimeter \: or \: (a + b + c)}{2 } \\ area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]
*Heron’s formula is a formula that use the 3 sides of triangle to find the area.

In this case:
s=30/2
s=15

The length of the triangle:
30÷3
=10ft

The area:
=_/15(10-15)(10-15)(10-15)
=_/15(5)(5)(5)
=_/1875
=43
=25_/3 sq.ft

Therefore the answer is B.

Hope it helps!

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