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ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?
- a)36 cm
- b)16 cm
- c)12 cm
- d)18 cm
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perim...
According to problem,
⇒ Perimeter of ΔPQR = 24 × 5.6/8.4
⇒ Perimeter of ΔPQR = 16
Most Upvoted Answer
ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perim...
Understanding Congruent Triangles
When two triangles are congruent, they have the same shape and size. Therefore, corresponding sides are proportional.
Given Information
- Triangles: ΔPQR and ΔXYZ are congruent.
- Lengths of sides: PQ = 5.6 cm and XY = 8.4 cm.
- Perimeter of ΔXYZ: 24 cm.
Finding the Ratio of Corresponding Sides
To find the perimeter of ΔPQR, we first need to determine the ratio of the corresponding sides:
- Ratio of sides:
Ratio = PQ / XY = 5.6 cm / 8.4 cm.
To simplify this ratio:
- Convert both to a common unit or decimal:
- 5.6 / 8.4 = 2 / 3.
Calculating the Perimeter of ΔPQR
If the ratio of sides is 2:3, this means that for every 2 units of ΔPQR, there are 3 units in ΔXYZ.
Now, since the perimeter of ΔXYZ is 24 cm:
- Let the perimeter of ΔPQR be denoted as PQR_perimeter.
Using the ratio:
- PQR_perimeter / 24 cm = 2 / 3.
Finding the Value of PQR_perimeter
Now, we can solve for PQR_perimeter:
- PQR_perimeter = 24 cm * (2/3) = 16 cm.
Conclusion
Thus, the perimeter of ΔPQR is 16 cm.
The correct answer is option 'B'.
When two triangles are congruent, they have the same shape and size. Therefore, corresponding sides are proportional.
Given Information
- Triangles: ΔPQR and ΔXYZ are congruent.
- Lengths of sides: PQ = 5.6 cm and XY = 8.4 cm.
- Perimeter of ΔXYZ: 24 cm.
Finding the Ratio of Corresponding Sides
To find the perimeter of ΔPQR, we first need to determine the ratio of the corresponding sides:
- Ratio of sides:
Ratio = PQ / XY = 5.6 cm / 8.4 cm.
To simplify this ratio:
- Convert both to a common unit or decimal:
- 5.6 / 8.4 = 2 / 3.
Calculating the Perimeter of ΔPQR
If the ratio of sides is 2:3, this means that for every 2 units of ΔPQR, there are 3 units in ΔXYZ.
Now, since the perimeter of ΔXYZ is 24 cm:
- Let the perimeter of ΔPQR be denoted as PQR_perimeter.
Using the ratio:
- PQR_perimeter / 24 cm = 2 / 3.
Finding the Value of PQR_perimeter
Now, we can solve for PQR_perimeter:
- PQR_perimeter = 24 cm * (2/3) = 16 cm.
Conclusion
Thus, the perimeter of ΔPQR is 16 cm.
The correct answer is option 'B'.
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ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer?
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ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer?.
ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?a)36 cmb)16 cmc)12 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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