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Question

x is an integer greater than 16. Find the value of  x - 10, if x is the length of the side AC of the triangle given below.



A
7
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B
17
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C
10
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D
18
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Solution

The correct option is A 7
Given, x is the length of one of the sides of ΔABC.
We know that the sum of any two sides of a triangle is always greater than the third side.
10 + 8 > x
18 > x 
i.e., x < 18.
It is also given that x is an integer greater than 16.
So, the only possible value of x is 17.
x - 10 = 17 - 10 = 7.

Mathematics

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