If x is an integer and 2

Question

If x is an integer and 2 < x < 7, how many different triangles are there with sides 2, 7 and x?

A. 0
B. 1
C. 2
D. 3
E. 4

akadiyan · Answer

X is an integer between 2 and 7, so possible values of X = 3,5,6,7

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides

Difference of 2 sides = 7-2 = 5 / Sum of 2 sides = 7+2 =9

The length of 3rd side should be between 5<N<9 and considering 2<X<7 from the question, we know that 3rd side is 6.

The only possible values of X is 6. Only 1 triangles possible with lengths 2, 7 and x

Ans  B

Joy24 · Answer

And since 2<x<7, 6 is the only answer,  B

akadiyan · Answer

Your answer is correct , i updated my post. Thanks

parth2424 · Answer

Mate, 
X <7 
In the end only possible value is 6 so B)

Posted from my mobile device

TarunKumar1234 · Answer

Given, triangles are there with sides 2, 7 and x, 2

Saasingh · Answer

OA B

Sum of two sides is greater than third side.

So, using that we get x belong to 5 to 9 exclusive.

But restriction in stem is x belong to 2 to 7 exclusive.

So only possible value of x is 6.

Posted from my mobile device

If x is an integer and 2 < x < 7, how many different triangles are the

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