Question:

How many triangles are there in the given figure?
Triangle

Updated On: Mar 5, 2025
  • 7
  • 9
  • 6
  • 5
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The Correct Option is B

Solution and Explanation

Step 1: Identify and Count the Triangles 

The given figure consists of a rectangle divided into multiple regions by diagonals and intersecting lines. To count the number of triangles:

  • Identify the distinct small triangles formed by intersections.
  • Count all the individual triangles within the shape.
  • Include triangles formed by larger divisions of the figure.

Step 2: Breakdown of the Triangle Count

By carefully analyzing the figure, we find:

  • There are 6 small triangles.
  • 3 additional triangles are formed by combining smaller triangles.

Thus, the total number of triangles is:

  • 6 + 3 = 9

Final Answer: The correct answer is (b) 9

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