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Which is the longest side in the triangle PQR right angled at P?
- a)PQ
- b)QR
- c)PR
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which is the longest side in the triangle PQR right angled at P?a)PQb)...
QR because in a right angled triangle hypotenuse is the biggest line and here point P is 90 degrees so the QR line would make hypotenuse
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Which is the longest side in the triangle PQR right angled at P?a)PQb)...
In a right-angled triangle, the side opposite the right angle is called the hypotenuse. The other two sides are called the legs. Let's analyze the given triangle PQR.
Given:
- Triangle PQR is a right-angled triangle, with the right angle at vertex P.
To determine the longest side, we need to identify the hypotenuse of the triangle.
- The hypotenuse is always the longest side in a right-angled triangle.
- The hypotenuse is the side opposite the right angle.
Now, let's analyze the sides of triangle PQR:
- Side PQ: This side is adjacent to the right angle, but it is not opposite the right angle. Therefore, PQ cannot be the hypotenuse.
- Side QR: This side is opposite the right angle at vertex P. Therefore, QR is the hypotenuse of triangle PQR.
- Side PR: This side is one of the legs of the triangle. It is not opposite the right angle, so PR cannot be the hypotenuse.
Therefore, the correct answer is option 'b' - QR is the longest side in the triangle PQR, as it is the hypotenuse.
In conclusion, the hypotenuse, which is the side opposite the right angle, is always the longest side in a right-angled triangle. In this case, the hypotenuse of triangle PQR is QR.
Given:
- Triangle PQR is a right-angled triangle, with the right angle at vertex P.
To determine the longest side, we need to identify the hypotenuse of the triangle.
- The hypotenuse is always the longest side in a right-angled triangle.
- The hypotenuse is the side opposite the right angle.
Now, let's analyze the sides of triangle PQR:
- Side PQ: This side is adjacent to the right angle, but it is not opposite the right angle. Therefore, PQ cannot be the hypotenuse.
- Side QR: This side is opposite the right angle at vertex P. Therefore, QR is the hypotenuse of triangle PQR.
- Side PR: This side is one of the legs of the triangle. It is not opposite the right angle, so PR cannot be the hypotenuse.
Therefore, the correct answer is option 'b' - QR is the longest side in the triangle PQR, as it is the hypotenuse.
In conclusion, the hypotenuse, which is the side opposite the right angle, is always the longest side in a right-angled triangle. In this case, the hypotenuse of triangle PQR is QR.
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Which is the longest side in the triangle PQR right angled at P?a)PQb)QRc)PRd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Which is the longest side in the triangle PQR right angled at P?a)PQb)QRc)PRd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which is the longest side in the triangle PQR right angled at P?a)PQb)QRc)PRd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which is the longest side in the triangle PQR right angled at P?a)PQb)QRc)PRd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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