the area of an equilateral triangle is 16√3cm^2 .find its perimeter
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area = 16√3cm^2
side=a cm
area= √3/4a^2
16√3=√3/4a^2
a=8cm
perimeter= 3a
p=24cm
side=a cm
area= √3/4a^2
16√3=√3/4a^2
a=8cm
perimeter= 3a
p=24cm
Answered by
2
Heya !!
Area of equilateral ∆ = 16√3 cm² (given)
=> √3a²/4 = 16√3 ,where a = side of ∆
=> a² = (16√3 × 4)/√3
=> a² = 16×4
=> a² = 64
=> a = √64
=> a = 8
Perimeter of equilateral ∆ = 3a
=> 3 × 8
=> 24 cm
Area of equilateral ∆ = 16√3 cm² (given)
=> √3a²/4 = 16√3 ,where a = side of ∆
=> a² = (16√3 × 4)/√3
=> a² = 16×4
=> a² = 64
=> a = √64
=> a = 8
Perimeter of equilateral ∆ = 3a
=> 3 × 8
=> 24 cm
Varununique:
area of triangle is √3/4à^2
hence √64-8
perimeter will be 24
yupp_!!
hmmm
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