In a triangle ABC, if D is the midpoint of BC and E is the midpoint of AD, then area of triangle BED is:

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12

area of triangle ABD

13

area of triangle ABD

14

area of triangle ABD

23

area of triangle ABD

answer is A.

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Detailed Solution

Given a triangle ABC in which D is the midpoint of BC and E is the midpoint of AD.
In a triangle ABC, E is the midpoint of median AD. Show that from Mathematics Areas of Parallelograms and Triangles Class 9 Punjab Board

In a triangle ABC, E is the midpoint of median AD. Show that from Mathematics Areas of Parallelograms and Triangles Class 9 Punjab Board

As the median divides the triangle into 2 parts having equal area, AD is median.
Area of triangle ABD =

12

area of triangle ABC
Similarly, as BE is median.
Area of triangle BED =

12

area of triangle ABD
Hence, option 1 is correct.

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