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In triangle MNS, A and B are points on the sides MN, NS respectively. 
Then AB is …………………. to NS :
Then AB is …………………. to NS :- a)Not Perpendicular
- b)Parallel
- c)Perpendicular
- d)Not Parallel
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In triangle MNS, A and B are points on the sides MN, NS respectively.T...
In ∆MNS we have,
→ AN = 1/2(MN)
→ AN = (1/2)(MA + AN)
→ AN = (1/2)MA + (1/2)AN
→ AN - (1/2)AN = (1/2)MA
→ AN[1 - (1/2)] = (1/2)MA
→ (1/2)AN = (1/2)MA
→ AN = MA
so, A is mid point of MN .
→ AN = (1/2)(MA + AN)
→ AN = (1/2)MA + (1/2)AN
→ AN - (1/2)AN = (1/2)MA
→ AN[1 - (1/2)] = (1/2)MA
→ (1/2)AN = (1/2)MA
→ AN = MA
so, A is mid point of MN .
similarly,
→ BS = (1/2)(MS)
→ BS = (1/2)(MS)
so, B is mid point of MS .
since AB is a line segment joining the mid points of two sides of ∆MNS .
therefore, → AB || NS { According to Mid point theorem the line segment joining the mid points of two sides of a triangle is parallel to the third side . }
Most Upvoted Answer
In triangle MNS, A and B are points on the sides MN, NS respectively.T...
If a line divides any two sides of a triangle in the same ratio then the line is parallel to the third side.(by convers of thales theorem)
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Community Answer
In triangle MNS, A and B are points on the sides MN, NS respectively.T...
In ∆MNS we have,
→ AN = 1/2(MN)
→ AN = (1/2)(MA + AN)
→ AN = (1/2)MA + (1/2)AN
→ AN - (1/2)AN = (1/2)MA
→ AN[1 - (1/2)] = (1/2)MA
→ (1/2)AN = (1/2)MA
→ AN = MA
so, A is mid point of MN .
→ AN = (1/2)(MA + AN)
→ AN = (1/2)MA + (1/2)AN
→ AN - (1/2)AN = (1/2)MA
→ AN[1 - (1/2)] = (1/2)MA
→ (1/2)AN = (1/2)MA
→ AN = MA
so, A is mid point of MN .
similarly,
→ BS = (1/2)(MS)
→ BS = (1/2)(MS)
so, B is mid point of MS .
since AB is a line segment joining the mid points of two sides of ∆MNS .
therefore, → AB || NS { According to Mid point theorem the line segment joining the mid points of two sides of a triangle is parallel to the third side . }
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In triangle MNS, A and B are points on the sides MN, NS respectively.Then AB is …………………. to NS :a)Not Perpendicularb)Parallelc)Perpendiculard)Not ParallelCorrect answer is option 'B'. Can you explain this answer?
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In triangle MNS, A and B are points on the sides MN, NS respectively.Then AB is …………………. to NS :a)Not Perpendicularb)Parallelc)Perpendiculard)Not ParallelCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In triangle MNS, A and B are points on the sides MN, NS respectively.Then AB is …………………. to NS :a)Not Perpendicularb)Parallelc)Perpendiculard)Not ParallelCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle MNS, A and B are points on the sides MN, NS respectively.Then AB is …………………. to NS :a)Not Perpendicularb)Parallelc)Perpendiculard)Not ParallelCorrect answer is option 'B'. Can you explain this answer?.
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