Friday, February 23, 2007

"GEOMETRY QUESTION OF THE DAY"

The sides AB, BC, CA of triangle ABC have 3,4 and 5 interior points respectively on them.The numbers of triangles that can be constructed using these points as vertices is

A) 220
B) 210
C) 205
D) 200
E) 180

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3 comments:

snj153 said...

180

February 23, 2007 at 9:44 PM
Vinay said...

hw

February 24, 2007 at 7:23 AM
Admin said...

CORRECT ANS IS —–(C)205
TOTAL NO OF POINTS 3+4+5=12
THERE ARE 12C3 WAYS OF FORMING TRIANGLE=220WAYS
POINTS ON THE SIDES CANNOT FORM THE TRIANGLE WITH EACH OTHER
SO 3C3+4C3+5C3=15
NO OF WAYS TRIANGLE CAN BE FORMED BY JOINING THE 3 POINTS ON AB 4 POINTS ON BC AND 5 POINTS ON CA=220-15=205 WAYS

February 24, 2007 at 11:53 AM

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