Exam

English and Logical Reasoning Prep Guide

Subject

Logical Reasoning

Chapter

Counting of Figures

English and Logical Reasoning Prep Guide · Logical Reasoning · Counting of Figures

How many triangles in all can be found in the following figures?

How many triangles in all can be found in the following figures?

Step-by-step solution

The triangles are : $$\begin{array}{lll}\Delta \mathrm{ABH},& \Delta \mathrm{BCH},& \Delta \mathrm{AHI},\Delta \mathrm{HIJ},& \Delta \mathrm{AHJ},& \Delta \mathrm{ABI},\Delta \mathrm{GHJ},& \Delta \mathrm{GHI},& \Delta \mathrm{GJK},\Delta \mathrm{GHK},& \Delta \mathrm{DFG},& \Delta \mathrm{EFG},\Delta \mathrm{CDH},& \Delta \mathrm{BDH},& \Delta \mathrm{DEG}\end{array}$$Thus there are 15 triangles.