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in Mathematics by (88.9k points)
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The sides AB, BC and CA of a triangle ABC have 3, 4 and 5 interior points respectively on them. The number of triangles that can be constructed using these interior points as vertices is. . . .

2 Answers

+1 vote
by (79.0k points)
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Best answer

Since, AB, BC, CA contains 3, 4 and 5 points

Number of triangles = 12C3 - 3C3 - 4C3 - 5C3 

 = 220 - 1 - 4 - 10 = 205

0 votes
by (76.3k points)

Triangles constructed using 12 points 

Triangles constructed using 3 points on

Triangles constructed using 4 points on

Triangles constructed using 5 points on

. .. Total triangles = 220 - 1 - 4 - 10 = 205

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