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Relation between Area of Triangle and Parallelogram with Common Base and between Same Parallel Lines

Question 8Are...

Question

Question 8

Area of parallelogram ABCD (See the figure) is not equal to

(a) $D E \times D C$
(b) $B E \times A D$
(c) $B F \times D C$
(d) $B E \times B C$

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Solution

We know that,
Area of parallelogram = $B a s e \times C o r r e s p o n d i n g H e i g h t$
So, area of parallelogram $A B C D = A D \times B E = B C \times B E$ $[∵ A D = B C]$
or area of parallelogram $A B C D = D C \times B F$

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Relation between Area of Triangle and Parallelogram with Common Base and between Same Parallel Lines

Standard VIII Mathematics

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