In an equilateral triangle of side 2a cm, calculate the length of its altitude.
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Let the triangle be ABC with AD as its altitude. Then, D is the midpoint of BC.
In right-angled triangle ABD, we have:
AB² = AD² + DB²
AD² = AB² - DB² = 4a² - a²
= 3a²
AD = √3a
Hence, the length of the altitude of an equilateral triangle of side 2a cm is √3a cm.
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Let the triangle be ABC with AD as its altitude. Then, D is the midpoint of BC.
In right-angled triangle ABD, we have
Hence, the length of the altitude of an equilateral triangle of side 2a cm is √3a cm
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