Question

show that a median of a triangle it divides it into two triangles of equal areas?​

Answer 1

Answer:

Each median divides the area of the triangle in half; hence the name, and hence a triangular object of uniform density would balance on any median. (Any other lines which divide the area of the triangle into two equal parts do not pass through the centroid.)

Answer 2

Answer:

ar(ΔABD)=ar(ΔACD)

Step-by-step explanation:

Given:In ΔABC,AD is the median.

Required To Prove[R.T.P]:ar(ΔABD)=ar(ΔACD)

Construction:Draw AN⊥BC

Proof:ar(ΔABD)=1/2×BD×AN →→→→→1

          ar(ΔACD)=1/2×DC×AN

          ar(ΔACD)=1/2×BD×AN [∵BD=DC] →→→→→2

From 1 and 2

ar(ΔABD)=ar(ΔACD)

∴Hence proved

∴Please mark it as brainlist answer