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The number of triangles in this figure i...

The number of triangles in this figure is

A

a. 20

B

b. 22

C

c. 28

D

d. 8

Text Solution

Verified by Experts

The correct Answer is:
D

The simple outer triangles are AID, AIB, BIK, BCK, CKE, KEN, ENH, NGH, NGL, LFG, DLF AND DLI i.e., 12 triangles
The simple middle triangles are : IJR ORV, RLM, VXM, UMN, QUX, KJU and JOQ i.e., 8 triangles
The simple innermost triangles are OSP, PQT, SVW and TWX i.e., 4 triangles. The bisected triangles are ABD, BCE, DFG and EGH i.e., 4 triangles
Total number of triangles
`=12+8+4+4=28`
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