Question

ABCD is a parallelogram and E is the middle point of side AD. EC meets BD in O. If the area of the parallelogram is 24 Sq.Units then the area of triangle EOD is

Answer 1

Answer:this is the answer

Step-by-step explanation:

Final Answer : 2units

Understanding :

1) Vector Method.

Steps:

1) Let A be (a) vector.

D be (0) vector. zero vector

C be (b) vector

=> In parallelogram ABCD, B is (a + b) vector.

2) Let the point O divides EC and DB vector in the ratio 1:t and lambda : 1 respectively.

Then, use section formula of vectors.

3)equate both similar points of O vector.

4) We know that,

|a x b| = 24units

5) Area of Triangle EOD =1/2 (OE x OD)

Use this to get area.

For Calculation see pic

Answer 2

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