if the area of an equilateral triangle is 8 under root 3cm square find its height
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Step-by-step explanation:
Area of an equilateral ∆ = 8√3 cm²
√3a² / 4 = 8√3
a² = ( 8√3 × 4 ) / √3
a² = 8 × 4
a² = 32
a = √32
a = 4√2 cm
Area of ∆ = 1 / 2 × base × height
8√3 = 1 / 2 × 4√2 × height
height = ( 2 × 8 √3 ) / 4√2
=> 16√3 / 4√2
=> 4√3 / √2
=> 4√3 / √2 × √2 / √2
=> 4√6 / 2
=> 2√6 cm
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