the area of an equilateral tri. is 36√3 sq.cm.Find the perimeter
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4
Hi ,
Let the side of the equilateral triangle
= a cm
Area ( A ) = 36√3 sqcm
( √3/4 ) a² = 36√3
a² = ( 36√3 × 4 )/√3
a² = 36 × 4
a² = 144
a = √144
a = 12 cm
Perimeter of the equilateral triangle
= 3a
= 3 × 12 cm
= 36 cm
I hope this helps you.
:)
Let the side of the equilateral triangle
= a cm
Area ( A ) = 36√3 sqcm
( √3/4 ) a² = 36√3
a² = ( 36√3 × 4 )/√3
a² = 36 × 4
a² = 144
a = √144
a = 12 cm
Perimeter of the equilateral triangle
= 3a
= 3 × 12 cm
= 36 cm
I hope this helps you.
:)
ravipandey1:
thnxs
Answered by
5
Length of each side of equilateral triangle = a
Area of equilateral triangle = (a²√3) / 4
36√3 cm² = (a²√3) / 4
Divide both sides by “√3”
36 cm² = a²/4
a² = 144 cm²
Square root on both sides
a = 12 cm
Perimeter of an equilateral triangle = 3a
= 3 × 12 cm
= 36 cm
∴ Perimeter of equilateral triangle is 36 cm
Area of equilateral triangle = (a²√3) / 4
36√3 cm² = (a²√3) / 4
Divide both sides by “√3”
36 cm² = a²/4
a² = 144 cm²
Square root on both sides
a = 12 cm
Perimeter of an equilateral triangle = 3a
= 3 × 12 cm
= 36 cm
∴ Perimeter of equilateral triangle is 36 cm
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