NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Multiple Choice Questions
Question 10

Question.  10

The number of triangles in Fig. 2.10 is

(A)

10

(B)

12

(C)

13

(D)

14

Detailed Answer with Explanation:

Step-by-step counting (very easy method)

  1. Count the smallest triangles.
    Mark each tiny triangle once (do not double count). Suppose there are 9 such smallest triangles.
    \(\text{Small triangles} = 9\)
  2. Make medium triangles by combining small ones.
    Look for triangles formed by joining small triangles together near each corner of the big figure. You will find 3 such medium triangles.
    \(\text{Medium triangles} = 3\)
  3. Count the biggest triangle.
    The whole outer shape is 1 large triangle.
    \(\text{Large triangle} = 1\)
  4. Add them.
    \(\text{Total} = 9\) + \(3\) + \(1\)
    \(= 13\)

Tip: Use a pencil to tick each triangle once to avoid repeating the same one.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 2: Geometry – Multiple Choice Questions | Detailed Answers