Length of altitude in equilateral triangle for side 6 cm
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Step-by-step explanation:
as shown in diagram, the altitude in equilateral triangle always bisect baseline in 2 equal parts so ,
BD = CD = 3cm
now ADB is a right angle triangle so by pythagoras theorum,
AD^2 + DB^2 = AB^2
AD^2 = AB^2- DB^2 = 6^2 - 3^2 = 36-9 = 27
AD = √27 = 3√3 cm Ans
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Area of an equilateral triangle: √3/4a²
= √3/4 *6*6
= 15.57cm²
Also
Area of triangle = 1/2*b*h
∴ 15.57 = 1/2*6*h
31.4/6 = h
h = 5.2cm
(Answer may vary as I have take it upto 2 decimal places)
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