the area of an equilateral triangle is numerically equal to its perimeter find its perimeter correct to two decimal places
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Perimeter = 3 × side
Area = side² × √3/4
Given that area is equal to perimeter,
Then,
3 × side = side² × √3/4
3 × 4 = (side² × √3)/(side)
12 = side × √3
12/√3 = side
(12×√3)/(√3×√3) = side
12√3/3 = side
==========================
Perimeter = 3×side
Perimeter = 3 × (12√3)/3
Perimeter = 12√3
Perimeter = 12 × 1.732
Perimeter = 20.784 units
I hope this will help you
(-:
Area = side² × √3/4
Given that area is equal to perimeter,
Then,
3 × side = side² × √3/4
3 × 4 = (side² × √3)/(side)
12 = side × √3
12/√3 = side
(12×√3)/(√3×√3) = side
12√3/3 = side
==========================
Perimeter = 3×side
Perimeter = 3 × (12√3)/3
Perimeter = 12√3
Perimeter = 12 × 1.732
Perimeter = 20.784 units
I hope this will help you
(-:
bhatt456:
thanks my friend
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