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
Which of the following numbers will replace the question mark (?) in the given series?
4, 11, 21, 37, 62, 109, 171, ?
- Which number does not belong:
- Find the ODD one out.
- Which of the following pairs is correctly matched?
- 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? Figure A and B are related in a particular manner. Establish the same relationship between figures C and D by choosing the figure amongst these four options which would replace the question mark in figure D.
- 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? - Choose the figure which is different from the rest?
- Find the ODD one out.
Blue, Green, Red, Smooth - Which figure doesn't belong based on vertices?
Important Questions from Miscellaneous
A stone is thrown horizontally from the top of a 20 m high building with a speed of 12 m/s. It hits the ground at a distance R from the building. Taking g = 10 m/s2 and neglecting air resistance will give :
A mass is attached to a spring that hangs vertically. The extension produced in the spring is 6 cm on Earth. The acceleration due to gravity on the surface of the Moon is one-sixth of its value on the surface of the Earth. The extension of the spring on the Moon would be:
Directions: Each item in this section consists of a sentence with an underlined word followed by four words (a), (b), (c), and (d). Select the option that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly.
The deluge affected the population.The major source of vitamins and minerals for vegetarians is
Which of the following statements about the Deccan Riots Commission is/are correct?
1. The Commission did not hold enquiries in the districts which were not affected.
2. The Commission did record the statements of ryots, sahukars and eye-witnesses.
Select the correct answer using the code given below:
