CBSE HOTS Areas of Paralleograms and Triangles

CBSE HOTS IX - Areas of Parallelograms & Triangles

1. A, B are midpoints of sides YZ and XY respectively of llgm WXYZ. Prove  ar(WAB) = 3/8 ar(WXYZ)	Download Page 1  2
2. P and Q are respectively the midpoints of sides AB and BC of triangle ABC and R is midpoint of AP, show that ar(PBQ) = ar(ARC), ar(PRQ) = 1/2 ar (ARC), ar(RQC) = 3/8 ar(ABC)	Download Page 1  2

3.In figure Triangles ABC and BDE are equilateral and D is the midpoint of BC. Prove ar(BDE) = 1/4 ar(ABC), ar(ABC) = 2ar(BEC), ar(BDE) = 1/2ar(BAE), ar(BFE) = ar(AFD), ar(BFE) = 2ar(FED), ar(FED) = 1/8 ar(AFC)

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