find the side of an equilateral triangle whose area is 20√3 cm^2
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Area of equilateral∆ is given as = √3/4 × side²
Here, side = 8 cm
=> area = √3/4 × 8²
=> area = √3/4 × 64
=> area = 16√3 cm²
Since the actual area is 16√3 cm² and not 20√3 cm², the given sentence is false.
If you put 20√3 as area, then
20√3 = √3/4 × side²
=> side² = 20√3 × 4/√3
=> side² = 80
=> side = √80
but side is 8 cm and 8 ≠ √80
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