As shown at the right, $$\(\triangle A B C\)$$ has area 180 . Two line segments are drawn from $$\(A\)$$ to the trisection points of $$\(\overline{B C}\)$$, and a line segment is drawn from $$\(B\)$$ to the midpoint of $$\(\overline{A C}\)$$. What is the area of the shaded triangular region?

A.
18
B.
30
C.
27
D.
36
Mathematics
Competition
Math League
Exam No:2016 First Round Grades 10-12 Year:2016 Question No:11

Answer:

C

Knowledge points:

G10-12 - Geometry - Area Reasoning (Algebraic Modeling)

Solution:

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