Question:In a ABC we have : BC = 5 cm, AC = cm and AB = 13 cm. The length of the altitude drawn from B on AC is : 

A 4 cm 
B 5 cm 
C 6 cm 
D 7 cm 

+ Answer
B 

+ Explanation
a = 5, b = 12 and c = 13

`:. s = 1/2 (5 + 12 + 13) cm = 15 cm.`

:. Area` = sqrt(15 xx 10 xx 3 xx 2)`

             `= 30 cm^2`

`1/2 xx 12 xx Height = 30 => Height = 5 cm.`

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Irin Moni

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