Indian Navy SSR (Sailor) Triangles — practice questions

Explore 2 free Triangles questions in Indian Navy SSR (Sailor) 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 a right triangle with legs a and b, the altitude h drawn to the hypotenuse c satisfiesRead 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 a right triangle with legs a and b, the altitude h drawn to the hypotenuse c satisfies

h = a + b - c
h = ab/c
h = (a + b)/2
h = c/2

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Correct answer: B. h = ab/c

1. Area = 1/2 × a × b (using legs as base and height). 2. Area = 1/2 × c × h (using hypotenuse with altitude h). 3. Equate: ab = ch, so h = ab/c. _Source: syllabus Mathematics, Ch 6 "Triangles", §6.5_