Question
Download Solution PDFIf the three sides of a triangle are 12, 22 and m units, then which of the following is correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The three sides of a triangle are 12, 22, and m units.
Formula Used:
For any triangle, the sum of any two sides must be greater than the third side and difference of two sides must be less than the third side.
Calculation:
We need to satisfy the triangle inequality theorem for all combinations:
1) 12 + 22 > m
⇒ 34 > m
⇒ m < 34
2) 12 + m > 22
⇒ m > 22 - 12
⇒ m > 10
Combining the inequalities from 1 and 2:
⇒ 10 < m < 34
The correct answer is option 3.
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