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The altitude of a right triangle is 17 cm less than its base. If the hypotenuse is 25 cm, then the perimeter of the triangle is ______.

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Question

The altitude of a right triangle is 17 cm less than its base. If the hypotenuse is 25 cm, then the perimeter of the triangle is ______.

Options

  • 48 cm

  • 56 cm

  • 54 cm

  • 64 cm

MCQ
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Solution

The altitude of a right triangle is 17 cm less than its base. If the hypotenuse is 25 cm, then the perimeter of the triangle is 56 cm.

Explanation:

The legs are 7 cm and 24 cm: they differ by 17 cm and satisfy 72 + 242 = 252. The perimeter is 7 + 24 + 25 = 56 cm; the other options are incorrect totals.

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Chapter 6: Problems on Quadratic Equations - COMPETENCY-FOCUSED QUESTIONS [Page 83]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 6 Problems on Quadratic Equations
COMPETENCY-FOCUSED QUESTIONS | Q 8. | Page 83
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