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Find the altitude of an equilateral …

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Find the altitude of an equilateral triangle when each of its side is 'a'

    • Posted by Ekta Bamniya 5 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 4 months ago

    Here ABC is an equilateral triangle with each side as 'a'.

    therefore AD Is the altitude which bisects the base BC into 2 equal halves.

    therefore in triangle ABD
    AD^2+BD^2=AB^2 ( Pythagoras theorem)

    =>AD=√a^2-a^2/4

    =>AD=√3a/2.
    therefore altitude of the triangle is √3a/2.

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