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Tamil Nadu SSLC (Class 10) Triangles and Circles — practice questions

Explore 5 free Triangles and Circles questions in Tamil Nadu SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Triangles and Circles questions and exercises with answers

Showing questions 1–5 of 5.

In triangle PQR, S and T are points on PQ and PR respectively. ST is parallel to QR. If PS = 3, SQ = 6 and PT = 4, then PR equalsRead the answer and worked solution →A 5 m long ladder leans against a wall with its foot 3 m from the wall. The height it reaches up the wall isRead the answer and worked solution →In two similar triangles the ratio of medians is 3 : 5. The ratio of corresponding sides isRead the answer and worked solution →D, E, F are midpoints of sides BC, CA, AB of triangle ABC. The ratio of areas of triangle DEF and triangle ABC isRead the answer and worked solution →In an isosceles triangle ABC with AB = AC = 13 cm and BC = 10 cm, the altitude from A to BC isRead the answer and worked solution →

Worked practice questions

In triangle PQR, S and T are points on PQ and PR respectively. ST is parallel to QR. If PS = 3, SQ = 6 and PT = 4, then PR equals

  1. 8
  2. 10
  3. 14
  4. 12
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Correct answer: D. 12

1. By BPT, PS/SQ = PT/TR. So 3/6 = 4/TR, giving TR = 8. 2. PR = PT + TR = 4 + 8. 3. Hence PR = 12. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.3_

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A 5 m long ladder leans against a wall with its foot 3 m from the wall. The height it reaches up the wall is

  1. 4 m
  2. 3 m
  3. 2 m
  4. 5 m
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Correct answer: A. 4 m

1. Ladder forms hypotenuse 5; wall-foot distance is 3. 2. Height squared = 5 squared minus 3 squared = 25 minus 9 = 16. 3. Hence height = 4 m. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.5_

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In two similar triangles the ratio of medians is 3 : 5. The ratio of corresponding sides is

  1. 9 : 25
  2. 5 : 3
  3. 3 : 5
  4. 3 : 25
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Correct answer: C. 3 : 5

1. In similar triangles, all linear elements share the same ratio. 2. Medians are linear, so their ratio equals the side ratio. 3. Hence 3 : 5. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.4_

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