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Q.

If 4 cm and 7 cm are the lengths of two sides of a triangle, then what is the length of the third side?


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a

3 cm

b

2 cm

c

11 cm

d

12 cm 

answer is C.

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Detailed Solution

Let the length of the third side of the triangle be ‘l’. We know that the sum of the two sides of the triangle is always greater than the measure of the third side.
We can say that,
  l<4+7 l<11cm  
 It is also said that the measure of a side of a triangle is always greater than the difference of the other two sides of the triangle, concluding that
l>7−4 l>3cm  
 Hence, the third side lies between 3 cm and 11 cm. So, the option 3 is correct.
 
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