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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

The sides of a right angled triangle are in the ratio 5 : 12 : 13 and its perimeter is 120 units then, the sides are ______________ - Mathematics

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Question

The sides of a right angled triangle are in the ratio 5 : 12 : 13 and its perimeter is 120 units then, the sides are ______________

Options

  • 25, 36, 59

  • 10, 24, 26

  • 36, 39, 45

  • 20, 48, 52

MCQ
Fill in the Blanks

Solution

20, 48, 52

Explanation;

Hint:

The sides of a right angled triangle are in the ratio 5 : 12 : 13

Take the three sides as 5a, 12a, 13a

Its perimeter is 5a + 12a + 13a = 30a

It is given that 30a = 120 units

a = 4 units

∴ the sides 5a = 5 × 4 = 20 units

12a = 12 × 4 = 48 units

13a = 13 × 4 = 52 units

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Chapter 5: Geometry - Exercise 5.2 [Page 179]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 5 Geometry
Exercise 5.2 | Q 15 | Page 179
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