English

The sides of a triangle are in the ratio 12 : 14 : 25 and its perimeter is 25.5 cm. The largest side of the triangle is ______.

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Question

The sides of a triangle are in the ratio 12 : 14 : 25 and its perimeter is 25.5 cm. The largest side of the triangle is ______.

Options

  • 7 cm

  • 14 cm

  • 12.5 cm

  • 18 cm

MCQ
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Solution

The sides of a triangle are in the ratio 12 : 14 : 25 and its perimeter is 25.5 cm. The largest side of the triangle is 12.5 cm.

Explanation:

Let the common factor be k.

Sum of ratio parts = 12 + 14 + 25 = 51.

So `k = "Perimeter"/51`

= `(25.5)/51`

= 0.5

The largest side = 25 × k 

= 25 × 0.5 

= 12.5 cm

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Chapter 15: Perimeter And Area of Plane Figures - TEST YOURSELF [Page 701]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 15 Perimeter And Area of Plane Figures
TEST YOURSELF | Q 3. | Page 701
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