Question

in triangle abc,ab = 5cm, bc = 8cm and ac = 7cm. if d and e are respectively mid points of ab and bc, determine the length of de. give reason.

Answer 1

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The answer is 3.5 cm. ( by midpoint theorem )
This is because our midpoint theorem states that if a line is drawn joining the midpoints of two sides of a triangle , then it will be parallel to the third side and will be the half of the third side.
In this case , DE will be parallel to AC
and DE will be the half of AC .
That is if AC is 7cm( given ) , DE will be the half of 7cm = 3.5cm.

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