Triangle ABC and triangle DBC are on the same base BC but on opposite sides of it. AD and BC intersects each other at O. If A0 = a cm, DO = b cm and the area of triangle ABC = x cm², then what is the area (in cm²) of triangle DBC ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e.
ΔABC = x
Area ratio from same base = height ratio
⇒ x : ΔDBC
⇒ x : ΔDBC = ha : hd
⇒ x : ΔDBC = a : b
⇒ ΔDBC =