Perimeter = 36 cm

Heron’s formula: Area =

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

15 square centimeters
62 square centimeters
72 square centimeters
705 square centimeters

Respuesta :

EEPJR
answer is 62 sq. centimeters
Ver imagen EEPJR
Heron's formula:

Triangle Area =√[s(s-a)(s-b)(s-c)]

Where s = half of the perimeter of the triangle (in our case =36/2=18)

a, b, & c the length of each side (in our case all sides are equal since it's an equilateral triangle with a perimeter = 36 or each side =36/3 =12)
Now we can apply Heron's formula:
Area =√[18(18-12)(18-12)(18-12] =√[18x6x6x6] =√(3888) = 62.354 cm²

or rounded =62 cm²