Question

2. In AABC, if E is the mid-point of BC, then
name the following from the figure.
А
B
DE
c С
a. a median of AABC
b. an altitude of AABC
c. an altitude of AABE
d. two line segments of equal lengths
4.​

Answer 1

Answer:

ABC is the triangle and O the centroid. Let AO produced meet BC in D. The Area of the triangles ABD = Area of triangle ACD.

(Reason CD=BD and same altitude and Area =

2

1

×base×altitude)

Similarly, Area EBD = Area ECD. Subtracting i.e

Area ABD - Area EBD = Area ACD - Area ECD which implies Area ABE = Area ACE