If a line segment joins the midpoints of two sides of a triangle, then its length is equal to one-half the length of the third side has been proved.
A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
In the given triangle below;
Line segment BC is intersecting at the midpoint of AD and AE.
Now,
Since ΔABC ≈ ΔADE by similarity property.
So,
AB/AD = BC/DE
AB/(AB + BD) = BC/DE
Since AB = BD = AB lets say,
AB/2AB = BC/DE
BC/DE = 1/2
Hence "If a line segment joins the midpoints of two sides of a triangle, then its length is equal to one-half the length of the third side has been proved".
For more about triangles,
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