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Which is the longest side in the triangle ABC right angled at B?
- a)AB
- b)BC
- c)AC
- d)None os these
Correct answer is option 'C'. Can you explain this answer?
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Which is the longest side in the triangle ABC right angled at B?a)ABb)...
AC is the longest side in triangle ABC right angled at B so option c is the answer
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Which is the longest side in the triangle ABC right angled at B?a)ABb)...
Longest Side in a Right-Angled Triangle
In a right-angled triangle, the side opposite the right angle (90 degrees) is called the hypotenuse. The other two sides are known as the legs of the triangle. The longest side in a right-angled triangle is always the hypotenuse.
Explanation
- Side AC is the Hypotenuse: In triangle ABC, angle B is the right angle, which means side AC is the hypotenuse of the triangle.
- Length Comparison: To determine the longest side, compare the lengths of AB, BC, and AC. Since AC is the hypotenuse, it will always be the longest side in a right-angled triangle.
- Pythagorean Theorem: In a right-angled triangle, the Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem further confirms that the hypotenuse (in this case, side AC) is the longest side.
- Conclusion: Therefore, in triangle ABC right angled at B, side AC is the longest side.
Remember, in a right-angled triangle, the hypotenuse is always opposite the right angle and is the longest side.
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Which is the longest side in the triangle ABC right angled at B?a)ABb)BCc)ACd)None os theseCorrect answer is option 'C'. 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 ABC right angled at B?a)ABb)BCc)ACd)None os theseCorrect answer is option 'C'. 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 ABC right angled at B?a)ABb)BCc)ACd)None os theseCorrect answer is option 'C'. Can you explain this answer?.
Which is the longest side in the triangle ABC right angled at B?a)ABb)BCc)ACd)None os theseCorrect answer is option 'C'. 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 ABC right angled at B?a)ABb)BCc)ACd)None os theseCorrect answer is option 'C'. 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 ABC right angled at B?a)ABb)BCc)ACd)None os theseCorrect answer is option 'C'. Can you explain this answer?.
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