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Q.

The base and height of a triangle are in the ratio 3: 2 and its area is 108  cm 3  . Find its base and height.


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a

Height=24cm, base=18cm

b

Height=18cm, base=12 cm

c

Height=12cm, base =18cm

d

None of these 

answer is B.

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Detailed Solution

Concep- Let the ratio be x  
Base =3x   Height =2x  
Area of triangle =108  
⇒ 1 2 ×2x×3x=108  
⇒3 x 2 =108  
⇒ x 2 =36  
x=6  
Base =3x=3×6=18 cm  
Height =2x=2×6=12 cm  .
Hence, the correct answer is option 2.
 
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