Answer:
1) Area of ΔABD = Area of ΔACD and
2) Area of ΔABO = Area of ΔCDO
Step-by-step explanation:
1) In the given trapezoid ABCD,
AD || BC
Triangles ΔABD and ΔACD lie on the same base AD and lie between the parallel lines AD and BC.
Hence, they are equal in area.
Therefore, Area of ΔABD = Area of ΔACD.
2) From 1), we have
Ar (ΔABD) = Ar(ΔACD)
Subtract Ar (ΔAOD) from both sides,
Ar (ΔABD) - Ar (ΔAOD) = Ar(ΔACD) - Ar (ΔAOD)
Ar (ΔABO) = Ar (ΔCDO)
