Algebra
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Q.

How many differently shaped triangles exist in which no two sides are of the same length, each side is of integral unit length and the perimeter of the triangle is less than 14 units?

 A.

3

 B.

4

 C.

5

 D.

6

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Solution:
Option(C) is correct

Possible sides of different triangles can be as follows:

(2,3,4),(2,4,5),(2,5,6),(3,4,5) and (3,4,6)

Hence option (C) is the correct choice


(2) Comment(s)


Poonam Pipaliya
 ()

why we cannot take (1,2,3) or (1,4,6)


Deepak
 ()

Because it will not be possible to create a triangle using the lengths of sides you have provided.

Remember in order to make sure that a triangle can be formed, the sum of the length of two sides MUST be greater than the length of the third side.

With the values provided by you, these conditions are not met, so triangle can not be formed.