All Exams Test series for 1 year @ ₹349 only
Question

Find the number of triangles in the figure given below: 

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
44 triangles

To determine the total number of triangles in the given figure, we need to analyze and count the triangles systematically by inspecting various parts and combinations within the structure.

Let's break it down:

  1. There are four large equilateral inner triangles, each made by dividing the central rectangle. These are the most visible triangles.
  2. Within each of these large equilateral triangles, there are smaller triangles formed. Each large triangle contains 3 smaller triangles (1 downward, 2 upward).
  3. This results in \(4 \times 3 = 12\) smaller triangles within the larger triangles.
  4. The central rectangle itself is split into smaller triangles through diagonal and vertical lines.
  5. Above and below the central rectangle, triangle formations consist of large triangles enclosing smaller ones. Each side accounts for 10 triangles:
    • 2 triangles by the vertical division (left and right segments).
    • 6 medium triangles in total (3 on each side).
    • 2 small triangles, distinctive above and below the rectangle.
  6. Adding 10 triangles for both upper and lower sections gives us \(10 \times 2 = 20\) triangles.
  7. Finally, there are additional triangles formed by combining smaller triangles across the structure:
    • The top and bottom apex structures contribute 5 triangles each in the larger formation.
  8. Add all triangles: \(12\) (from inner large triangles) \(+\) \(20\) (from upper and lower sections) \(+\) \(12\) (6 and 6 from top and bottom)
  9. This gives a total of \(44\) triangles.

Therefore, the correct answer is 44 triangles.

Was this answer helpful?

Similar Questions

  1. How many triangles does this figure have?

  2. Find the number of triangles in the given figure.

  3. How many triangles are there in the following figure?

  4. How many squares are there in the given figure?

  5. What is the minimum number of straight lines in the following figure?

  6. How many of squares are there in a given illustration?

  7. Find the minimum number of straight lines in the following figure.

  8. Find the number of the triangles in the given figure.

  9. How many pentagons are there in the given figure?

  10. Find the total number of triangles in the following figure.


Important Questions from Figure Counting

  1. How many triangles can be found out from the following figure:

  2. Which symbol will appear on the face opposite to the face of a circle O in the cube given below?

  3. Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.
    Statement:I Some bags are pockets.
    Statement:II No pocket is a pouch.
    Conclusion: I Some bags are not pouches.
    Conclusion: II Some pockets are bags.
  4. How many rectangles can you see in the figure?

  5. Find the number of triangles in the given figure:

Need Expert Advice?
Upcoming Exams
RRB Technician
October 06, 2026
RRB JE
October 27, 2026
RRB ALP
November 03, 2026
Test Series
RRB NTPC img
Railways
RRB NTPC Under Graduate 2026 New Mock Test Series
1580 Tests 2 Tests Free
544 Attempts
4.3(498)
English, Hindi, Telugu +7 More

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App