Question

If the height of the equilateral triangle in 9√3 then find out the perimeter of triangle.​

Answer 1

Answer:

The perimeter of the equilateral triangle is 54 units.

Given:

• Height of the equilateral triangle is 9√3.

To find:

• The perimeter of the equilateral triangle.

Solution:

Formula:

Side =(2 × Height)/√3

Note: Only for equilateral triangle.

→ Side = 2 (9√3)/√3

→ Side = 2 × 9

→ Side = 18 units

For equilateral triangle all sides are congruent

∴ Perimeter = 3 × Side

∴ Perimeter = 3 × 18

∴ Perimeter = 54 units.

∴ The perimeter of the equilateral triangle is 54 units.

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Extra information:

• Area of a equilateral triangle = (Side² × √3)/4