How many triangles are there in the given figure.
To find the total number of triangles in the given figure, we need to carefully analyze the figure and count all possible triangles formed by intersection of lines. Let's break it down step-by-step:
- First, identify all the small triangles in the figure. Count all the smallest triangles visible in the figure.
- Next, observe the combination of two or more small triangles forming a larger triangle.
- Continue this pattern for combinations of three or more triangles to ensure all possible triangles are counted.
Using this method, the figure can be broken down as follows:
- Count 8 small individual triangles formed by the intersection of lines within the inner structure.
- Identify and count the triangles formed by combining two small triangles — this gives us 4 more triangles.
- Next, count the larger triangles formed by combining three or more of the smaller triangles — this adds another 4 triangles.
Adding them up gives us a total of 16 triangles.
Thus, the correct answer is 16. This ensures we have considered every possible triangle in the configuration.
Similar Questions
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
15 12 81 17 14 93 15 11 ? - Which figure doesn't belong based on vertices?
How many straight lines are there in the figure? (Don't consider the extra line if there is another line at 180 degrees)
An unfolded box (cube or cuboid) appeared as shown in the figure, when sheet is folded to form a box. find the number on the face
opposite to 6.
- \(34, \ 68, \ 102, \ 136, \ 170, \ 185\) - which number doesn't follow the series rule?
- Which of the following does NOT belong to the group?
- Amazon, Nile, Ganga, Everest - which is not like the others?
Which figure should replace the question mark?
- Choose the CORRECT option.
Address 1: Mr. Rohit Sharma, 123/A, Rose Villa, Green Park, Delhi - 110016
Address 2: Mr. R. Sharma, 123-A, Rose Villa, Green Park, New Delhi - 110016
Are the two addresses likely to refer to the same person? - Address A: Mr. Riya Kapoor, 7/2, Lake View Road, Kolkata - 700029
Address B: Mr. R. Kapoor, 7/2A, Lake View Rd, Kolkata - 700029
What is the most significant difference between the two addresses?
Important Questions from Miscellaneous
The magazine in which Mahatma Gandhi mentioned what he wanted the Constitution to do is:
Which gas shields the surface of the earth from ultraviolet radiation from the sun?
Which event is marked as an Intangible Cultural Heritage of Humanity by UNESCO?
Who has been conferred with the rank of the Commander of the Order of the British Empire in 2018?
Who directead the film ‘Bhuvan Shome’?
