NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Multiple Choice QuestionsQuestion 10
Class 6 - Mathematics - Unit 2: Geometry - Multiple Choice Questions
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)
- Count the smallest triangles.
Mark each tiny triangle once (do not double count). Suppose there are 9 such smallest triangles.
\(\text{Small triangles} = 9\) - 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.
\(\text{Medium triangles} = 3\) - Count the biggest triangle.
The whole outer shape is 1 large triangle.
\(\text{Large triangle} = 1\) - Add them.
\(\text{Total} = 9\) + \(3\) + \(1\)
\(= 13\)
Tip: Use a pencil to tick each triangle once to avoid repeating the same one.