Question

Find the perimeter of
equilateral
triangle, if
its area is 6403 cm​

Answer 1

Gɪᴠᴇɴ :-

• Area of Equaliteral ∆ = 6403cm².

Tᴏ Fɪɴᴅ :-

• Perimeter of Equaliteral ∆. ?

Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ :-

• Area of Equaliteral ∆ = (√3/4) * (side)²
• Perimeter of Equaliteral ∆ = 3 * side.

Sᴏʟᴜᴛɪᴏɴ :-

Comparing Area with formula we get :-

→ (√3/4) * (side)² = 6403

→ √3 * (side)² = 6403 * 4

→ 1.73 * (side)² = 25612

→ (side)² = 14804.62

→ side ≈ 121cm.

Therefore,

→ Perimeter of Equaliteral ∆ = 121 * 3 = 363cm. (Ans.)

Hence, Perimeter of Equaliteral ∆ is 363cm.

Answer 2

Given :-

• Area of equilateral triangle = 6403 cm^2

To find :-

• Perimeter of equilateral triangle = ?

We know that area of equilateral triangle is :-

Area = (√3/4) × (side)^2

We know that perimeter of equilateral triangle is :-

Perimeter = 3 × side.

Solution :-

→ Here we just have to compare both formula to find the required answer.

→ (√3/4) × (side)^2 = 6403

→ √3 × (side)^2 = 6403 × 4 [Value of √3 = 1.73.]

→ 1.73 × (side)^2 = 25612

→ (side)^2 = 14804.62

→ Side = 121 cm.

Therefore,

→ Perimeter of equilateral triangle = 121 × 3 = 363 cm.

Answer = 363 cm.