ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other perpendicularly at O. If AO = a cm, DO = b cm and the area of ΔABC = x cm2, then what is the area (in cm2) of ΔDBC?

ΔABC and ΔDBC are on the same base BC but on opposite sides of it. A

1.	ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other perpendicularly at O. If AO = a cm, DO = b cm and the area of ΔABC = x cm2, then what is the area (in cm2) of ΔDBC?
A.	\(\frac{{bx}}{a}\)
B.	\(\frac{a}{b}x\)
C.	\(\frac{{ab}}{2}x\)
D.	\(\frac{{a + b}}{2}x\)
Answer» B. \(\frac{a}{b}x\)

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ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other perpendicularly at O. If AO = a cm, DO = b cm and the area of ΔABC = x cm2, then what is the area (in cm2) of ΔDBC?

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