PYQ Vault

Number of triangles formed from points marked on the three sides of a triangle

The same question, asked 2 times: 2021 Paper 8*, 4 Apr 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 8

    71
    If the sides AB,BCAB,BC and CACA of a triangle ABCABC have 3,5 and 6 interior points respectively, then the total number of triangles that can be constructed using these points as vertices, is equal to:

    Tap an option to check your answer.

  2. Question 2

    4 Apr 2024

    68
    There are 5 points P1,P2,P3,P4,P5P_{1},P_{2},P_{3},P_{4},P_{5} on the side ABAB, excluding AA and BB, of a triangle ABCABC. Similarly, there are 6 points P6,P7,…,P11P_{6},P_{7},\ldots,P_{11} on the side BCBC and 7 points P12,P13,…,P18P_{12},P_{13},\ldots,P_{18} on the side CACA of the triangle. The number of triangles, that can be formed using the points P1,P2,…,P18P_{1},P_{2},\ldots,P_{18} as vertices, is:

    Tap an option to check your answer.