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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
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
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ReplyDeletehw
ReplyDeleteCORRECT ANS IS —–(C)205
ReplyDeleteTOTAL 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