Construct AABC with AB = 8 cm, BC =
6 cm, and CA = 7 cm. Find the midpoint D of AB. Through the point D, draw a line segment DE parallel to BC, meeting AC at E. a Measure DE. Find DE: BC.
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Answer:
Mid-Point Theorem :
The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side.
On applying the midpoint theorem, we get
DE=
2
AC
=
2
7
=3.5cm
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