Question 11

How many triangles are there in the figure given below ?

Solution

The different number of triangles in the figure ERT are EFK, EGK, EFG, EIL, EHL, EIH, EJM, ENM, EJN, EOP, EQP, EOQ, ERS, ETS, ERT

Number of triangles in the figure ERT = 15

Since figure EUV is similar to figure ERT

Number of triangles in the figure EUV = 15

The remaining triangles in the given figure are CAB, CWZ, CUV

$$\therefore\ $$Number of triangles in the given figure = 15 + 15 + 3 = 33

Hence, the correct answer is Option B


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