Question

An area of an equilateral triangle is 1000cm2. Calculate the perimeter of the triangle.​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given :-

An area of an equilateral triangle is 1000cm²

To find :-

Calculate the perimeter of the triangle.?

Solution :-

We know that

Area of an equilateral triangle whose side is a units is (√3/4)a² sq.units

Given that

An area of an equilateral triangle = 1000cm²

=> (√3/4)a² = 1000

=> a² = 1000×(4/√3)

=> a² = 4000/√3

=> a² = (4000/√3)×(√3/√3)

=> a² = 4000√3/3

=> a² = 4000×1.732/3

=> a² = 6928/3

=> a² = 2309.33 (approximately)

=> a = √2309.33

=> a = 48.05 cm (approximately)

Side of the equilateral triangle = 48.05 cm

We know that

Perimeter of an equilateral triangle is 3a units

Perimeter of the given triangle

=> P = 3×48.05 cm

=> P = 144.15 cm

Therefore, P = 144.15 cm

Answer:-

Perimeter of the given equilateral triangle is 144.15 cm

Used formulae:-

→ Area of an equilateral triangle whose side is a units is (√3/4)a² sq.units

→ Perimeter of an equilateral triangle is 3a units

• a = side of the equilateral triangle
• √3 = 1.732