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Question

How many triangles are there in the figure?
(it is a 'Cevian' write formula of a triangle named in honour of Mathematician Ceva)
1202834_d7304ab61c3f406faf308e71c84b9c26.PNG

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Solution

No.oftraingles=1×1+2×2+3×3+4×4+5×3+6×2+7×1

=1+4+9+16+15+12+7

=64
Hence, the total number of triangles in the given figure is 64

1148416_1202834_ans_a7b2d37d8c6f400ba2bae820bcee731a.PNG

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