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Lesson 1 of 3 · Count triangles / squares / rectangles

Triangles

Non-verbal Reasoning · for IPMAT Indore, IPMAT Rohtak and JIPMAT · asked in JIPMAT 2026

The exam method

  1. Anything else. split the figure into parts you know and count the triangles that cross between parts separately.

Worked examples

Example 5Easy

Triangle with sides cut into three equal parts and parallels drawn.

Formulas you need

k lines from one corner, t lines across them⇒t(k2) trianglesk \text{ lines from one corner}, \ t \text{ lines across them} \Rightarrow t\binom{k}{2} \text{ triangles}

Watch out

  • False triangles: a region with a bent side is not a triangle.

Picked from the Count triangles / squares / rectangles note for this micro-concept automatically. The whole note: Count triangles / squares / rectangles.