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Q.

State whether the following statements are true or false:


Question Image is a median of a triangle Question Image. Is Question Image ?


(Consider the sides of triangles Question Image and Question Image )


seo

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a

True

b

False 

answer is A.

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Detailed Solution

The given statement is true.
Concept: Start by drawing a rough picture of the situation. Then get the fact that the sum of the two sides of the triangle is greater than or equal to the third side of the two triangles formed by the median, and use that to find the answer.
seoFrom triangle Question ImageQuestion ImageAlso, in triangle Question ImageQuestion ImageAdding equation 1 and 2 we get,
Question ImageHence, the given statement is true.
 
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