From the statement select the related given statement. in a triangle a segment joining the midpoints of two sides is one-half the length of the third side. a.) plane r is parallel to plane s; plane t cuts planes r and s. b.) △abc with ∠1 = ∠2. c.) point b is between points a and c d.) line l; point p not on l. e.) △abc with midpoints m and n.

The given statement is

In a triangle a segment joining the midpoints of two sides is one-half the length of the third side.

By, considering a Δ ABC and having mid points M and N

Angle A is common.

Δ A MN is similar to ΔABC.⇒[S AS]

As we know by CPCT if two triangles are similar their sides are proportional.

 [M and N are mid points of AB and AC]

Out of all five options Option (E) △ABC with midpoints M and N is correct which satisfies the above statement.

step-by-step explanation:

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