Question

In triangle abc,if D and E are midpoints of BC And AD respectively such that ar of triangle AEC is 4cm ,then ar of triangle BEC is​

Answer 1

Answer:

4 sq cm

Step-by-step explanation:

area of triangle AEC = area of triangle DEC=4 sq cm;

this is because bases are equal [AE=ED] also height is same.

similarly area of triangle BED= area of triangle DEC =4 sq cm

equal bases [BD=CD] also height is same

Answer 2

Area of triangle BEC=4 square cm

Step-by-step explanation:

D is the mid-point of side BC

Therefore, by definition of midpoint

BD=DC

E is the mid-point of side AB

By definition of mid-point

AE=EB

Area of triangle AEC=4 square cm

The segment which connect the vertex and midpoint of opposite side of vertex is called  median segment.

Segment CE is a median and divides the triangle into two triangles of equal areas

Therefore, area of triangle AEC=Area of triangle BEC=4 square cm

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