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How many triangles are there in the following figure?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Triangle-question

(A) 6

(B) 10

(C) 11

(D) 12

12 triangles are there in the following figure. According to the picture, you can count the number of triangles in drawn in the triangle. 

Number of Small triangles = 5

Triangle having two Small Triangles = 4

Triangle having three Small Triangles = 2

Number of large triangles = 1

So the total triangles = 12

Therefore, the correct answer is 12.

Below, we have mentioned some vital information about the triangle.

Features of a Triangle

A plane figure with three straight sides and three angles, it is known as Triangle. Below, we have mentioned the features of a Triangle. 

  1. Three angles and three sides make up a triangle.
  2. A triangle’s total angles are always 180 degrees.
  3. A triangle’s outside angles are always a sum of 360 degrees.
  4. The total of the parallel exterior and interior angles is additional.
  5. Any two sides of a triangle can be added together to have a length larger than the third side. In the same way, any two triangle sides have length differences between them that are smaller than the length of the third side.
  6. Always, the shortest side faces the smallest interior angle. Similar to this, the biggest interior angle is always opposite the longest side. 

Summary:

How Many Triangles are There in the following figure? (A) 6 (B) 10 (C) 11 (D) 12

In the image given, there are 12 triangles. The number of small triangles in the figure is 5. There are four triangles that have 2 small triangles. The number of large triangles is 1. Hence the total number of triangles is 12.

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