Question

find the area of an equilateral triangle having aptitude HCM

Answer 1

Area of an equilateral triangle having altitude of hcm:Traingle ABC is an equilateral triangle with AD perpendicularAD = hcmby pythagoras theorm,AB² = AD² + BD²AB² = h² + BC²/2since AB = BC = ACAB² = h² + AB²/2AB = √2harea of triangle ABC =√3/4AB² = √3/4 (√2h)²√3/2h²cm2

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