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Which of the following cannot be the sides a right triangle?​
  • a)
    400mm, 300 mm, 500mm
  • b)
    9 cm, 15 cm, 12 cm
  • c)
    2 cm, 1 cm, √5 cm
  • d)
    9 cm, 5 cm, 7cm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Which of the following cannot be the sides a right triangle?​a)4...
H= P+ B2
H2 = 81
P+ B= 25 + 49 = 74
H ≠ P2+B2.Therefore the sides cannot form a right triangle.
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Community Answer
Which of the following cannot be the sides a right triangle?​a)4...
To determine which of the given options cannot be the sides of a right triangle, we need to apply the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's analyze each option:

a) 400mm, 300mm, 500mm:
According to the Pythagorean theorem, the square of the longest side (hypotenuse) should be equal to the sum of the squares of the other two sides.
- 400^2 + 300^2 = 160,000 + 90,000 = 250,000
- 500^2 = 250,000

The lengths of the sides in option a) satisfy the Pythagorean theorem, so it can be the sides of a right triangle.

b) 9cm, 15cm, 12cm:
- 9^2 + 15^2 = 81 + 225 = 306
- 12^2 = 144

The lengths of the sides in option b) do not satisfy the Pythagorean theorem since the sum of the squares of the smaller sides is not equal to the square of the longest side. Therefore, option b) cannot be the sides of a right triangle.

c) 2cm, 1cm, 5cm:
- 2^2 + 1^2 = 4 + 1 = 5
- 5^2 = 25

The lengths of the sides in option c) do not satisfy the Pythagorean theorem since the sum of the squares of the smaller sides is not equal to the square of the longest side. Therefore, option c) cannot be the sides of a right triangle.

d) 9cm, 5cm, 7cm:
- 9^2 + 5^2 = 81 + 25 = 106
- 7^2 = 49

The lengths of the sides in option d) do not satisfy the Pythagorean theorem since the sum of the squares of the smaller sides is not equal to the square of the longest side. Therefore, option d) cannot be the sides of a right triangle.

Hence, the correct answer is option 'D' (9 cm, 5 cm, 7 cm).
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Which of the following cannot be the sides a right triangle?​a)400mm, 300 mm, 500mmb)9 cm, 15 cm, 12 cmc)2 cm, 1 cm, √5 cmd)9 cm, 5 cm, 7cmCorrect answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Which of the following cannot be the sides a right triangle?​a)400mm, 300 mm, 500mmb)9 cm, 15 cm, 12 cmc)2 cm, 1 cm, √5 cmd)9 cm, 5 cm, 7cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following cannot be the sides a right triangle?​a)400mm, 300 mm, 500mmb)9 cm, 15 cm, 12 cmc)2 cm, 1 cm, √5 cmd)9 cm, 5 cm, 7cmCorrect answer is option 'D'. Can you explain this answer?.
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