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