Triangle Geometry Statements
CMAT 2025 · Quantitative Techniques & Data Interpretation · Medium · Quantitative Aptitude
Given below are two statements : Statement I : The perimeter of a triangle is greater than the sum of its three medians. Statement II : In any triangle ABC, if D is any point on BC, then .
In the light of the above statements, choose the correct answer from the options given below :
- A.
Both Statement I and Statement II are true
- B.
Both Statement I and Statement II are false
- C.
Statement I is true but Statement II is false
- D.
Statement I is false but Statement II is true
A
Explanation
Statement I: Perimeter of a triangle is always greater than the sum of its medians. This is a standard theorem. (True)
Statement II: In , . In , . Summing these: . (True)
Both statements are true.
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