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प्रश्न
Statement (1): AD is median of triangle ABC and DE is parallel to BA. Then DE will bisect AC.
Statement (2): DE is the median of ΔADC.
पर्याय
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
MCQ
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उत्तर
Both the statements are true.
Explanation:
By the converse of the midpoint theorem, a line drawn through the midpoint of one side parallel to another side bisects the third side, making E the midpoint of AC. Since E is the midpoint of AC in triangle ADC, the segment DE connects a vertex to the midpoint of the opposite side, which confirms it is a median of ΔADC.
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