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The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?
A) \( \Large 10 < x < 40 \)
B) \( \Large 10 \le x \le 40 \)
C) \( \Large 10 \le x < 40 \)
D) \( \Large 10 < x \le 40 \)
Correct answer:
A) \( \Large 10 < x < 40 \)
Description for Correct answer:
In a triangle,
Sum of two sides is always greater than 3rd
side i.e., x < 25 + 15=40 ...(i)
Difference of two sides is always less than
3rd side i.e., 25 - 15 =10 < x ...(ii)
Form Eqs. (i) and (ii), we get
10 < x < 40
Please provide the error details in above question
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