Question

the measure of each side of an equilateral triangle whose area is √3cm² is 8cm

Answer 1

As we know that formula for area of equilateral triangle is ✓3/4 × a²

Therefore,

✓3/4 × a² = 8✓3 cm²

or, a² = 8✓3 ÷ ✓3/4

or, a² = 8✓3 × 4/✓3

or, a² = 8×4

or, a² = 32

or, ✓a² = ✓32

or, a = 4✓2 cm

So, side is 4✓2 cm.