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Indian Navy SSR Polygons — practice questions

Explore 4 free Polygons questions in Indian Navy SSR Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Polygons questions and exercises with answers

Showing questions 1–4 of 4.

Two triangles have areas in the ratio 49 : 64. The ratio of their corresponding sides isRead the answer and worked solution →A vertical pole 6 m tall casts a shadow 4 m long at the same time a tower casts a shadow 28 m long. The height of the tower isRead the answer and worked solution →The altitude AD of an equilateral triangle ABC of side length a isRead 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 →

Worked practice questions

Two triangles have areas in the ratio 49 : 64. The ratio of their corresponding sides is

  1. 14 : 16
  2. 8 : 7
  3. 49 : 64
  4. 7 : 8
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Correct answer: D. 7 : 8

1. For similar triangles, ratio of areas equals square of ratio of corresponding sides. 2. Square root of 49/64 is 7/8. 3. Hence sides are in ratio 7 : 8. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.4_

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A vertical pole 6 m tall casts a shadow 4 m long at the same time a tower casts a shadow 28 m long. The height of the tower is

  1. 42 m
  2. 18 m
  3. 24 m
  4. 36 m
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Correct answer: A. 42 m

1. Similar triangles share equal ratios: pole/shadow = tower/shadow. 2. 6/4 = h/28. 3. Cross-multiply: h = 6 × 28 / 4 = 42 m. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.4_

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The altitude AD of an equilateral triangle ABC of side length a is

  1. (a square root of 2) divided by 2
  2. a divided by 2
  3. (a square root of 3) divided by 2
  4. a square root of 3
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Correct answer: C. (a square root of 3) divided by 2

1. In equilateral triangle ABC of side a, altitude bisects the base. 2. Half-base = a/2; using Pythagoras, h squared = a squared minus (a/2) squared = 3 a squared / 4. 3. Hence altitude = (a square root of 3) / 2. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.5_

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