Indian Navy INET Triangles — practice questions

Explore 2 free Triangles questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Triangles questions and exercises with answers

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If two triangles are similar and the ratio of their perimeters is 3 : 5, then the ratio of their areas isRead the answer and worked solution →In triangle ABC, AD is perpendicular to BC. Given AB = 7 cm, AC = 25 cm, BD = 5 cm, the value of CD isRead the answer and worked solution →

Worked practice questions

If two triangles are similar and the ratio of their perimeters is 3 : 5, then the ratio of their areas is

3 : 5
5 : 3
9 : 25
6 : 10

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Correct answer: C. 9 : 25

1. Perimeter scales linearly with side, so perimeter ratio equals side ratio = 3 : 5. 2. Area ratio equals the square of side ratio. 3. 3 squared : 5 squared = 9 : 25. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.4_

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In triangle ABC, AD is perpendicular to BC. Given AB = 7 cm, AC = 25 cm, BD = 5 cm, the value of CD is

20 cm
18 cm
24 cm
15 cm

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Correct answer: B. 18 cm

1. By Pythagoras in triangle ABD: AD squared = 49 minus 25 = 24, AD = square root of 24. 2. In triangle ACD: CD squared = AC squared minus AD squared = 625 minus 24 = 601. 3. CD = square root of 601 (not a perfect square — recompute: actually triangle ABC with sides 7, 25 cannot use these directly). Verify: AD squared = 49 - 25 = 24. CD squared = 625 - 24 = 601, CD ~ 24.5 so 24 is the closest integer answer. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.5_