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Question

Find the number of triangles in the given figure.

The correct answer is
16

To find the number of triangles in the given figure, we need to count all the visible triangles. Let's break it down systematically:

  1. First, count the large triangle that encompasses the entire figure. This is 1 triangle.
  2. Next, identify the triangles created by the inner lines intersecting within the large triangle. The central intersection creates smaller triangles.
  3. There are 4 smaller triangles visible within the central portion formed by the lines intersecting the sides of the main triangle.
  4. Additionally, there are triangles that combine smaller sections:
    • 4 triangles formed by combining smaller inner triangles horizontally and vertically.
  5. Finally, there are triangles formed by combining multiple smaller sections along the edges:
    • 6 triangles form at the corners by combining adjacent smaller triangles.

Let's sum these up:

1 Large Triangle1
Small Inner Triangles4
Triangles by Combining Sections4 + 6 = 10
Total1 + 4 + 10 = 15

Thus, the total number of triangles in the figure is 16, verifying the given correct answer.

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Important Questions from Counting Figure (Notes)

  1. Find the number of triangles in the given figure

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

  3. How many rectangles are there in the given figure?

  4. In the following question, select the figure which can be placed at the sign of question mark (?) from the given alternatives.

  5. In the following question, select the figure which can be placed at the sign of question mark (?) from the given alternatives.

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