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Count the number of triangles and squares in the given figure.
- a)44 triangles, 10 squares
- b)14 triangles, 16 squares
- c)27 triangles, 6 squares
- d)36 triangles, 9 squares
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Count the number of triangles and squares in the given figure.a)44 tri...
The figure may be labelled as shown.
Triangles :
The simplest triangles are AEI, EOI, OHI, HAI, EBJ, BFJ, FOJ, OEJ, HOL, OGL, GDL, DHL, OFK, FCK, CGK and GOK i.e. 16 in number.
The triangles composed of two components each are HAE, AEO, EOH, OHA, OEB, EBF, BFO, FOE, DHO, HOG, OGD, GDH, GOF, OFC, FCG and CGO i.e. 16 in number.
The triangles composed of four components each are HEF, EFG, FGH, GHE, ABO, BGO, CDO and DAO i.e. 8 in number.
The triangles composed of eight components each are DAB, ABC, BCD and CDA i.e. 4 in number.
Total number of triangles in the figure = 16 + 16 + 8 + 4 = 44.
Squares :
The squares composed of two components are HIOL, IEJO, JFKO and KGLO i.e. 4 in number.
The squares composed of four components are AEOH, EBFO, OFGC and HOGD i.e.4 in number.
There is only one square EFGH which is composed of eight components.
There is only one square ABCD which is composed of sixteen components.
Total number of squares in the figure = 4 + 4 + 1 + 1 = 10.
Most Upvoted Answer
Count the number of triangles and squares in the given figure.a)44 tri...
The figure may be labelled as shown.
Triangles :
The simplest triangles are AEI, EOI, OHI, HAI, EBJ, BFJ, FOJ, OEJ, HOL, OGL, GDL, DHL, OFK, FCK, CGK and GOK i.e. 16 in number.
The triangles composed of two components each are HAE, AEO, EOH, OHA, OEB, EBF, BFO, FOE, DHO, HOG, OGD, GDH, GOF, OFC, FCG and CGO i.e. 16 in number.
The triangles composed of four components each are HEF, EFG, FGH, GHE, ABO, BGO, CDO and DAO i.e. 8 in number.
The triangles composed of eight components each are DAB, ABC, BCD and CDA i.e. 4 in number.
Total number of triangles in the figure = 16 + 16 + 8 + 4 = 44.
Squares :
The squares composed of two components are HIOL, IEJO, JFKO and KGLO i.e. 4 in number.
The squares composed of four components are AEOH, EBFO, OFGC and HOGD i.e.4 in number.
There is only one square EFGH which is composed of eight components.
There is only one square ABCD which is composed of sixteen components.
Total number of squares in the figure = 4 + 4 + 1 + 1 = 10.
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Count the number of triangles and squares in the given figure.a)44 triangles, 10 squaresb)14 triangles, 16 squaresc)27 triangles, 6 squaresd)36 triangles, 9 squaresCorrect answer is option 'A'. Can you explain this answer?
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Count the number of triangles and squares in the given figure.a)44 triangles, 10 squaresb)14 triangles, 16 squaresc)27 triangles, 6 squaresd)36 triangles, 9 squaresCorrect answer is option 'A'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Count the number of triangles and squares in the given figure.a)44 triangles, 10 squaresb)14 triangles, 16 squaresc)27 triangles, 6 squaresd)36 triangles, 9 squaresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Count the number of triangles and squares in the given figure.a)44 triangles, 10 squaresb)14 triangles, 16 squaresc)27 triangles, 6 squaresd)36 triangles, 9 squaresCorrect answer is option 'A'. Can you explain this answer?.
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