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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

User Snovity
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2 Answers

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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
User Slohrsh
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7 votes
answer is 62 sq. centimeters
Perimeter = 36 cm Heron’s formula: Area = What is the area of an equilateral triangle-example-1
User Mbauman
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