each side of equilateral triangle is 2x centimetre if x root 3 equal to 48 and find its area
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each side of an equilateral ∆ is 2x cm
and x√3 = 48
so, x = 16√3.√3/√3 = 16√3 cm
now,
each side of equilateral ∆ = 2x
= 2 × 16√3 = 32√3 cm
area of equilateral ∆ = √3/4 × (side length) ²
= √3/4 × (32√3)²
= √3/4 × 32 × 32 × 3
= 32 × 8 × 3√3
= 768√3 cm²
and x√3 = 48
so, x = 16√3.√3/√3 = 16√3 cm
now,
each side of equilateral ∆ = 2x
= 2 × 16√3 = 32√3 cm
area of equilateral ∆ = √3/4 × (side length) ²
= √3/4 × (32√3)²
= √3/4 × 32 × 32 × 3
= 32 × 8 × 3√3
= 768√3 cm²
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0
Answer:
786 root 3 cm square
Step-by-step explanation:
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