Find the perimeter of triangle FEK formed by the midlines of triangle ABC if AB = 14, BC = 16, AC = 20.

univerkov | January 9, 2021 | education

A triangle is three points that are not on the same straight line, connected by segments.
The midline of a triangle is the line segment connecting the midpoints of the two sides. It is parallel to the third side and equal to its half:
FE = AC / 2;
FE = 20/2 = 10 cm;
EK = AB / 2;
EK = 14/2 = 7 cm;
FK = BC / 2;
FK = 16/2 = 8 cm.
The perimeter of a triangle is the sum of all its sides:
P = FE + EK + FK;
P = 10 + 7 + 8 = 25 cm.
Answer: The perimeter of the FEK triangle is 25 cm.

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