How many triangles are there ?

20

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21

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26

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28

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Solution

The correct option is B $28$
In the figure, there are 28 triangles as
$Δ F D E, Δ A C D, Δ A B D,$
$Δ F B D, Δ A B C, Δ B C D$
$Δ B K D, Δ B L D, Δ B J D$
$Δ J C D, Δ J K D, Δ L D J, Δ L C D$
$Δ L K D, Δ H D C, Δ K D C, Δ E D C$
$Δ H K C, Δ E K C, Δ A E C, Δ E H C$
$Δ A E H, Δ A G H, Δ A I H, Δ A G I$
$Δ A F B, Δ A G F, Δ F B G$
$∴$ Total $28$ triangles.

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