question_answer

Direction: Find the number of triangles in the given figures.

A) 18                    

B) 20  

C) 28                    

D) 30

Correct Answer: D

Solution :

Triangles made up of one segment each : AIE, AIF, FBM, BMG, KCG, KCH, DLH, DLE, JLH, JLE, JEF, JFM, JMG and JHG i.e., 14. Triangles made up of two segments each: AEF, FBG, CHG, HED, JHE, JFG, EDJ, FJB, GJB, HJDLe.10. Triangles made up of three segments each : EHG, EFG, HGF, HFE i.e., 4. Triangles made up of seven segments each : ADB, CDB i.e., 2. .-. Total triangles =14+10+4+2= 30.