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The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?
- a)5.4 cm
- b)4.5 cm
- c)3.5 cm
- d)6.4 cm
Correct answer is option 'A'. Can you explain this answer?
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The Perimeter of two similar triangles are 25 cm and 15 cm respectivel...
We know that if, ΔABC ~ ΔPQR, then
or, Applying componendo and dividendo, it can be clearly seen that,
or, Applying componendo and dividendo, it can be clearly seen that,
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The Perimeter of two similar triangles are 25 cm and 15 cm respectivel...
Understanding Similar Triangles
Similar triangles have the same shape but may be different in size. Their corresponding sides are in proportion, and the ratio of their perimeters is equal to the ratio of their corresponding sides.
Given Information
- Perimeter of the first triangle (P1) = 25 cm
- Perimeter of the second triangle (P2) = 15 cm
- One side of the first triangle (S1) = 9 cm
Finding the Ratio of the Perimeters
To find the corresponding side of the second triangle (S2), we first calculate the ratio of the perimeters:
- Ratio of the perimeters = P1 / P2 = 25 / 15 = 5 / 3
This ratio indicates that for every 5 units of length in the first triangle, there are 3 units in the second triangle.
Finding the Corresponding Side
Now, we can find the corresponding side of the second triangle using the ratio:
- S2 / S1 = 3 / 5
Substituting the known value of S1:
- S2 / 9 = 3 / 5
To find S2, we cross-multiply:
- S2 = (3 * 9) / 5
- S2 = 27 / 5
- S2 = 5.4 cm
Conclusion
The corresponding side of the second triangle is 5.4 cm, which corresponds to option 'A'.
This demonstrates how the properties of similar triangles and the proportional relationship between their sides can be applied to solve problems involving dimensions.
Similar triangles have the same shape but may be different in size. Their corresponding sides are in proportion, and the ratio of their perimeters is equal to the ratio of their corresponding sides.
Given Information
- Perimeter of the first triangle (P1) = 25 cm
- Perimeter of the second triangle (P2) = 15 cm
- One side of the first triangle (S1) = 9 cm
Finding the Ratio of the Perimeters
To find the corresponding side of the second triangle (S2), we first calculate the ratio of the perimeters:
- Ratio of the perimeters = P1 / P2 = 25 / 15 = 5 / 3
This ratio indicates that for every 5 units of length in the first triangle, there are 3 units in the second triangle.
Finding the Corresponding Side
Now, we can find the corresponding side of the second triangle using the ratio:
- S2 / S1 = 3 / 5
Substituting the known value of S1:
- S2 / 9 = 3 / 5
To find S2, we cross-multiply:
- S2 = (3 * 9) / 5
- S2 = 27 / 5
- S2 = 5.4 cm
Conclusion
The corresponding side of the second triangle is 5.4 cm, which corresponds to option 'A'.
This demonstrates how the properties of similar triangles and the proportional relationship between their sides can be applied to solve problems involving dimensions.
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The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer?
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The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer?.
The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer?.
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The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The Perimeter of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm. Then what is the corresponding side of the second circle?a)5.4 cmb)4.5 cmc)3.5 cmd)6.4 cmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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