NCHMCT JEE 2024 Solved Paper

Concept:The given figure is a large triangle split by three lines drawn from vertices to the opposite sides, forming a central triangle.Explanation:Count triangles by the number of internal lines used.Triangles using only the outer boundary: $1$Triangles using one internal line and two outer sides: $6$Triangles using two internal lines and one outer side: $9$Triangles using all three internal lines: $1$Total $= 1 + 6 + 9 + 1 = 17$.Answer:C. 17