what is the area of the net of a equilateral triangle as the base the numbers are 14.5 and 16.2 and 14.0

1 answer

To find the area of the net of an equilateral triangle with side lengths of 14.5, 16.2, and 14.0, we can use Heron's formula:

s = (14.5 + 16.2 + 14.0) / 2 = 22.35

Area = √(s*(s-14.5)*(s-16.2)*(s-14.0))
Area = √(22.35*(22.35-14.5)*(22.35-16.2)*(22.35-14.0))
Area = √(22.35*7.85*6.15*8.35)
Area = √(1032.211)

Area ≈ 32.16

Therefore, the area of the net of the equilateral triangle is approximately 32.16 square units.