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- Question
Find the number of triangles in the given figure.
Options- Correct Answer
- 5
ExplanationThe figure may be labelled as shown.
The simplest triangles are ADE, BDF, DEF and EFC i.e. 4 in number.
There is only one triangle ABC composed of four components.
Thus, there are 4+1 = 5 triangles in the given figure.
More questions
- 2. Find the number of triangles in the given figure.
Options
Discuss
Correct Answer: 48
Explanation:
The figure may be labelled as shown.
The simplest triangles are APQ, AEQ, QTU, QRU, BGS, BHS, RSU, SUV, TUW, UWX, NWD, WDM, UVY, UXY, JCY and YKC i.e. 16 in number.
The triangles composed of two components each are QUW, QSU, SYU and UWY i.e. 4 in number.
The triangles composed of three components each are AOU, AFU, FBU, BIU, UIC, ULC, ULD and OUD i.e. 8 in number.
The triangles composed of four components each are QYW, QSW, QSY and SYW i.e. 4 in number.
The triangles composed of six components each are AUD, ABU, BUC and DUC i.e. 4 in number.
The triangles composed of seven components each are QMC, ANY, EBW, PSD, CQH, AGY, DSK and BJW i.e. 8 in number.
The triangles composed of twelve components each are ABD, ABC, BCD and ACD i.e. 4 in number.
Thus, there are 16 + 4 + 8 + 4 + 4 + 8 + 4 = 48 triangles in the figure.
- 3. Select a suitable figure from the answer figures that would replace the
question mark (?) from question figure:
Options
Discuss
Correct Answer: 2
Explanation:
Answer B
- 4. What will come in place of?:
Options
Discuss
Correct Answer: 1
Explanation:
According to above given question figures , we can say that
In each subsequent figures line segment is added in a set order.
Hence , figure ( 1 ) will come on the place of ? from answer figures .- 5. Choose the figure which is different from the rest.
(1) (2) (3) (4) (5)
Options
Discuss
Correct Answer: 2
Explanation:
Each one of the figures except fig. (2), consists of five arrowheads.
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- 2. Find the number of triangles in the given figure.