Question

Count the number of triangles in the adjoining figure

• A. 28
• B. 20
• C. 23
• D. 26

Answer 1

The correct option is C 23

Number of triangles In $△ABC$ = $(T_1$, $T_2$, $T_3$, $T_4$, $T_5$, $T_6$, $T_7$, $T_6$$T_7$,($T_1$
$T_2$$T_3$$T_4$$T_5$$T_6$$T_7$)) = 9
Numbers of triangles in $△DEF$ excluding $T_6$,
$T_7$: ($T_8$, $T_9$, $T_{10}$, $T_{11}$, $T_8$$T_9$, $T_{10}$$T_{11}$, $T_{12}$$T_{13}$, $T_{12}$,
$T_{13}$, $T_{14}$, $T_{15}$, ( $T_6$ $T_8$ $T_{10}$ $T_{12}$ $T_{14}$), ( $T_7$ $T_9$ $T_{11}$ $T_{13}$
$T_{15}$), $T_6$ $T_7$ $T_8$ $T_9$ $T_{10}$ $T_{11}$ $T_{12}$ $T_{13}$ $T_{14}$ $T_{15}$)=14