If each side of an equilateral triangle is 37√3 cm, then what is its altitude (in cm)?

Question

Accepted Answer

For an equilateral triangle with side length 'a', the altitude (height) is given by the formula: altitude = (sqrt(3)/2) * a.

Given a = 37√3 cm,

altitude = (sqrt(3)/2) * 37√3  
= (sqrt(3)/2) * 37 * sqrt(3)   
= (sqrt(3) * sqrt(3) / 2) * 37   
= (3/2) * 37  
= 1.5 * 37  
= 55.5 cm.

Therefore, the altitude is 55.5 cm.

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