Question

How many triangles are there in the above figure?

• A. 10
• B. 12
• C. 8
• D. 16

Answer 1

The correct option is D 16

The given figure may be labelled as shown below.
Here, the simplest triangles are $△$AEM, $△$EMD, $△$MDH, $△$MHC, $△$MCG, $△$MGB, $△$MBF, $△$MFA i.e., 8 in number.
Also, the other triangles are: $△$AMD, $△$ABM, $△$DMC, $△$BMC, $△$ADC, $△$BDC, $△$ABD and $△$ABC, i.e. 8 in number.
So, total number of triangles are = 8 + 8 = 16
Hence,option (D) is the correct answer.