Question:The altitude of an equilateral triangle of side` 3sqrt(3)` cm is : 

A 3 cm 
B `2sqrt(3) cm` 
C `4.5 cm` 
D `sqrt(3)/4 cm` 

+ Answer
C 

+ Explanation
Area` = sqrt(3)/4 xx (3sqrt(3)^2)`

         `= (27sqrt(3))/4.`

Now` 1/2 xx 3sqrt(3) xx height`

     `= (27sqrt(3))/4`

:. Height` = (27sqrt(3))/4 xx 2/(3sqrt(3))`

          `= 9/2 = 4.5 cm.`

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Irin Moni

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