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Which of the following can be a side of right triangle?
2.5 cm , 7.5cm , 7cm
by using Pythagoras property?
2.5 cm , 7.5cm , 7cm
by using Pythagoras property?
Most Upvoted Answer
Which of the following can be a side of right triangle? 2.5 cm , 7.5cm...
Understanding Right Triangles
A right triangle is defined by its right angle (90 degrees) and adheres to the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. This is expressed as:
a² + b² = c²
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
Testing the Given Sides
To determine if 2.5 cm, 7.5 cm, and 7 cm can form the sides of a right triangle, we will evaluate different combinations:
Conclusion
None of the combinations of 2.5 cm, 7.5 cm, and 7 cm satisfy the Pythagorean theorem, meaning they cannot form the sides of a right triangle.
A right triangle is defined by its right angle (90 degrees) and adheres to the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. This is expressed as:
a² + b² = c²
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
Testing the Given Sides
To determine if 2.5 cm, 7.5 cm, and 7 cm can form the sides of a right triangle, we will evaluate different combinations:
- Combination 1: 2.5 cm, 7.5 cm, and 7 cm
- Assuming 7.5 cm is the hypotenuse:
- 2.5² + 7² = 6.25 + 49 = 55.25
- 7.5² = 56.25
- Not a right triangle.
- Combination 2: 2.5 cm, 7.5 cm, and 2.5 cm
- Assuming 7.5 cm is the hypotenuse:
- 2.5² + 2.5² = 6.25 + 6.25 = 12.5
- 7.5² = 56.25
- Not a right triangle.
- Combination 3: 7 cm, 2.5 cm, and 7.5 cm
- Assuming 7.5 cm is the hypotenuse:
- 2.5² + 7² = 6.25 + 49 = 55.25
- 7.5² = 56.25
- Not a right triangle.
Conclusion
None of the combinations of 2.5 cm, 7.5 cm, and 7 cm satisfy the Pythagorean theorem, meaning they cannot form the sides of a right triangle.
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Which of the following can be a side of right triangle? 2.5 cm , 7.5cm , 7cmby using Pythagoras property?
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Which of the following can be a side of right triangle? 2.5 cm , 7.5cm , 7cmby using Pythagoras property? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following can be a side of right triangle? 2.5 cm , 7.5cm , 7cmby using Pythagoras property? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following can be a side of right triangle? 2.5 cm , 7.5cm , 7cmby using Pythagoras property?.
Which of the following can be a side of right triangle? 2.5 cm , 7.5cm , 7cmby using Pythagoras property? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following can be a side of right triangle? 2.5 cm , 7.5cm , 7cmby using Pythagoras property? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following can be a side of right triangle? 2.5 cm , 7.5cm , 7cmby using Pythagoras property?.
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