The area of a triangle ABC is 60 sq. cm. In triangle ABC E is the midpoint of BC, D is a point on AC between C and A such that CD=2DA, F is a point on side AB such that the area of triangle DEF is thrice the area of triangle FBE The area (in sq. cm) of ADEF is
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is the area of the parallelogram ADEF.
Step-by-step explanation:
Area of a triangle ABC is
E is the midpoint of BC
D is the midpoint of AC
F is the midpoint of AB
Area of triangle DEF=3 × Area of triangle FBE
To find the area of the ADEF,
D,E,F are mind points. Join them to make a triangle.
Now there are four triangles in the diagram.
Therefore we divide the given area by 4
Hence
Area of DEF is
ADEF is a parallelogram,
It divided into 2 congruent triangle
Hence area of parallelogram is
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