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Question

Pia finds a box in her cupboard. She opens the box and finds a figure as shown below.
Pia's mother asks her to find the number of triangles in the figure. Help her find the number of triangles.

A
10
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B
20
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C
18
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D
16
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Solution

The correct option is B 20
First, let us count the number of individual triangles.There are 10 such triangles.

Now, let us count the hidden triangles.

1. Triangles formed by combining two individual triangles:

There are two triangles with red, blue, pink, and orange borders.
Number of triangles = 2 + 2 + 2 + 2 = 8

2. Triangles formed by combining four individual triangles:

There is one triangle with green and grey border.
Number of triangles = 2

Total number of triangles = 10 + 8 + 2 = 20

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