Solved UPSC CDS/OTA Question
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Q · GeometryMedium · 45s
The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?
TopicGeometry
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained - no skipped algebra.
In a triangle
Sum to two sides is always greater than 3rd side
i.e., x < 40 ..... (i)
Difference of two sides is always less than 3rd side
i.e., 10 < x ..... (ii)
From Eqs. (i) and (ii),
10 < x < 40.
Final Answer: Option A - 10 < x < 40