Question

The area of an equilateral triangle is 2 root 3 cm square. What is its semi-perimeter?

Answer 1

Hii friend,

Area of an equilateral triangle = ✓3/4 × (side)²

2✓3 = ✓3/4 × side²

(Side)² = 2✓3 × 4/ ✓3

(Side)² = 8

Side = ✓8 = 2✓2 CM

Length of each Side of an equilateral triangle = 2✓2 cm

Perimeter of an equilateral triangle = 3×Side = 3 × 2✓2 = 6✓2

Therefore,

Semi perimeter = 1/2 × 6✓2 = 3✓2 CM.

HOPE IT WILL HELP YOU..... :-)

Answer 2

Area of equilateral triangle =side²√3/4

2√3 = side²√3/4

8√3= side²√3

8 = side²

2√2 = side

Now,

Semi-perimeter = (2√2 +2√2 +2√2)/2

Semi perimeter = 6√2/2

Semi perimeter = 3√2 cm



I hope this will help you



-by ABHAY