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Family of Planes Passing through the Intersection of Two Planes

Count the num...

Question

Count the number of triangles in the given figure

A

38

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B

36

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C

40

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D

45

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Solution

The correct option is A 38
Figure is symmetrical about the dotted line
Number of $△$ 's in first quarter : $T_{1}, T_{2}, T_{6}, T_{5}, T_{4}, T_{7}, T_{8}, T_{7} T_{8}, T_{4} T_{8} T_{7}$
Number of triangles in four quarters
=9 $\times 4 = 36$

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Family of Planes Passing through the Intersection of Two Planes

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