# The sides AB,BC,CA of a triangle ABC have 3,4 and 5 interior points respectively on them the total no. of triangle that can be constructed

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The sides AB,BC,CA of a triangle ABC have 3,4 and 5 interior points respectively on them the total no. of triangle that can be constructed by using these points as vertices is _______

(a) 220

(b) 204

(c) 205

(d) 195

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Correct option: (c) 205

Explanation:

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