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Question

How many triangles are there in this figure?

दी गई आकृति में कितने त्रिभुज हैं?




A
20
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B
24
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C
28
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D
30 or more

30 या ज्यादा
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Solution

The correct option is C 28
Number of triangles containing 1 smaller triangle = 12
Number of triangles containing 2 smaller triangles = 8
Number of triangles containing 3 smaller triangles = 4
Number of triangles containing 6 smaller triangles = 4
Hence, the total number of triangles = 12 + 8 + 4 + 4 = 28.

त्रिभुजों की संख्या जिसमें 1 छोटा त्रिभुज हो = 12
त्रिभुजों की संख्या जिसमें 2 छोटे त्रिभुज हो = 8
त्रिभुजों की संख्या जिसमें 3 छोटे त्रिभुज हो = 4
त्रिभुजों की संख्या जिसमें 6 छोटे त्रिभुज हों = 4
अत: कुल त्रिभुजों की संख्या = 12 + 8 + 4 + 4 = 28

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