the height of the equilateral triangle is 6 cm. find its area​

Question

the height of the equilateral triangle is 6 cm. find its area​

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Natalia 2 weeks 2021-09-06T05:24:39+00:00 2 Answers 0 views 0

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    0
    2021-09-06T05:26:16+00:00

    Answer: Hope it will be helpful

    Step-by-step explanation: If the height of an equilateral triangle is 6 cm, its base = 2*6*cot 60 = 6.92820323 cm and so the area of the equilateral triangle = 6*6.92820323 /2 = 20.78460969 sq cm or 12√3 sq cm. The ratio of base to height of a equilateral triangle is 3:4.

    0
    2021-09-06T05:26:22+00:00

    Answer: Area = 20.784 cm²

    Explanation:
    Altitude = Height = 6 cm
    Let length of side be ‘a’

    So , √3/2 a = 6
    So a = 12/√3
    So a = 4√3 cm

    This ‘a’ is the length of the side

    Now, area = (√3/4) × a²
    So, Area = (√3/4) × (4√3)²
    So, Area = (√3/4) × (16×3)
    So, Area = ✓3 × 4 × 3
    So, Area = 12 √3
    We know that, √3 = 1.732
    So, Area = 12×1.732

    So, Area = 20.784 cm²

    Hope it helps…
    Please mark my answer as the brainliest answer…

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