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Q.

Which of the following is the statement of the Mid-point Theorem ?

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a

The line segment joining the mid-points of any two sides of a triangle is equal to the third side.

b

The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to it

c

The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of it.

d

The line segment joining the mid-points of any two sides of a triangle is twice the third side.

answer is C.

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Detailed Solution

According to the midpoint theorem, "the line segment in a triangle joining the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

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