Question

Find the volume of the triangle if the area of ​​an isosceles triangle is 64√3 cm².​

Answer 1

CORRECT QUESTION :

Q: Find the perimeter of the equilateral triangle. If the area of an equilateral triangle is 64√3 cm².

Answer:

• The perimeter of equilateral triangle = 48 cm

Step-by-step explanation:

Given that:

• Area of an equilateral triangle is 64√3 cm².

To Find:

• Perimeter of the equilateral triangle.

Assume that:

• Let the length of each side of an equilateral triangle be a cm.

Solution:

• Area of isosceles triangle = √3/4 a²

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

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Answer 2

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:

• Area of an equilateral triangle = 64√3 cm²

To find:

• Perimeter of the triangle

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