Geometry and TrigonometryHardMidsegment of a triangle
Geometry and Trigonometry practice question
In triangle ABC, point D is the midpoint of side AB and point E is the midpoint of side AC. If DE = 7, what is the length of BC?
Answer: 14
The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. So BC = 2 × DE = 14.
Common wrong answers
- If you answered 7
- 7 is DE itself; BC is twice as long.
- If you answered 21
- 21 triples DE; the midsegment is exactly half the third side.
- If you answered 3.5
- 3.5 halves DE, but DE is the half; the third side is the double.
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