alleryD, E, F are midpoints of sides BC, CA, AB of triangle ABC. The ratio of areas of triangle DEF and triangle ABC is
A1 : 4
B1 : 3
C1 : 2
D1 : 6
Answer & Solution
Correct answer: A. 1 : 4
1. Joining midpoints creates a medial triangle DEF similar to ABC.
2. Each side of DEF is half the parallel side of ABC, so side ratio is 1 : 2.
3. Area ratio is the square: 1 : 4.
_Source: syllabus Mathematics, Ch 6 "Triangles", §6.4_
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