CORRECT QUESTION :
Q: Find the perimeter of the equilateral triangle. If the area of an equilateral triangle is 64√3 cm².
Answer:
Step-by-step explanation:
Given that:
To Find:
Assume that:
Solution:
Put the values in the formula, we have:
⟹ √3/4 a² = 64√3
⟹ a² = (4 × 64 × √3 )/√3
⟹ a² = 4 × 64
⟹ a² = 256
⟹ a = √256
⟹ a = 16
∴ Each side of an equilateral triangle = 16 cm
Perimeter of triangle = 3 × its side
❖ Perimeter of triangle = 3a
⟹ Perimeter of triangle = 3 × 16
⟹ Perimeter of triangle = 48
∴ The perimeter of equilateral triangle = 48 cm
══════════════════════
Perimeter = 48cm
Correct Question:
Find the perimeter of the equilateral triangle if the area of an equilateral triangle is 64√3 cm².
Given:
To find:
√3/4(Side)² = 64√3 cm²
Side² = 64√3 × 4 /√3
Side² = 256
Side = √256
Side = 16 cm
Perimeter = 3(Side)
Perimeter = 3 × 16
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Answers & Comments
CORRECT QUESTION :
Q: Find the perimeter of the equilateral triangle. If the area of an equilateral triangle is 64√3 cm².
Answer:
Step-by-step explanation:
Given that:
To Find:
Assume that:
Solution:
Put the values in the formula, we have:
⟹ √3/4 a² = 64√3
⟹ a² = (4 × 64 × √3 )/√3
⟹ a² = 4 × 64
⟹ a² = 256
⟹ a = √256
⟹ a = 16
∴ Each side of an equilateral triangle = 16 cm
Perimeter of triangle = 3 × its side
❖ Perimeter of triangle = 3a
⟹ Perimeter of triangle = 3 × 16
⟹ Perimeter of triangle = 48
∴ The perimeter of equilateral triangle = 48 cm
══════════════════════
Answer:
Perimeter = 48cm
Step-by-step explanation:
Correct Question:
Find the perimeter of the equilateral triangle if the area of an equilateral triangle is 64√3 cm².
Given:
To find:
Solution:
√3/4(Side)² = 64√3 cm²
Side² = 64√3 × 4 /√3
Side² = 256
Side = √256
Side = 16 cm
Perimeter = 3(Side)
Perimeter = 3 × 16
Perimeter = 48cm