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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
  • a)
    60
  • b)
    205
  • c)
    50
  • d)
    225
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The sides AB, BC and CA of a triangle ABC have 3, 4 and 5 interior poi...
Solution:

Given, sides AB, BC and CA of a triangle ABC have 3, 4 and 5 interior points respectively on them.

To form a triangle, we need to select 3 points, one from each of the sides AB, BC and CA.

Number of ways of selecting one point from each of the sides AB, BC and CA are:

3C1 x 4C1 x 5C1 = 60

Therefore, there are 60 triangles that can be formed using the given interior points as vertices.

Hence, the correct answer is option (a) 60.
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The sides AB, BC and CA of a triangle ABC have 3, 4 and 5 interior poi...
B
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