Class 8 Mathematics Chapter 2: The Baudhāyana-Pythagoras Theorem — practice questions with answers
Free practice for Class 8 Mathematics, Chapter 2: The Baudhāyana-Pythagoras Theorem. Try the solved questions below, then take a free test with instant marking and explanations.
50 questions11 easy, 26 medium, 13 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. If you double each side of a square, what happens to its area?
- It becomes 4 times the original
- It doubles
- It triples
- It stays the same
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Answer: A. It becomes 4 times the original
Why: 2 × 2 = 4 times. [p.33]
Why: 2 × 2 = 4 times. [p.33]
Q2. In a right triangle, the side opposite the right angle is called the ______.
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Answer: hypotenuse
Why: It is the longest side. [p.37]
Why: It is the longest side. [p.37]
Q3. In an isosceles right triangle with equal sides a and hypotenuse c, which relation holds?
- c² = 2a²
- c = 2a
- c² = a²
- c = a + 2
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Answer: A. c² = 2a²
Why: The square on c is twice the square on a. [p.40]
Why: The square on c is twice the square on a. [p.40]
Q4. State the Baudhāyana-Pythagoras theorem.
- In a right triangle with hypotenuse c, a² + b² = c²
- a + b = c
- a² − b² = c²
- In any triangle, a² + b² = c²
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Answer: A. In a right triangle with hypotenuse c, a² + b² = c²
Why: It holds for right-angled triangles. [p.46]
Why: It holds for right-angled triangles. [p.46]
Q5. A right triangle has shorter sides 6 and 8. Find the hypotenuse.
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Answer: 10 (± 0)
Why: 36 + 64 = 100, so c = 10. [p.47]
Why: 36 + 64 = 100, so c = 10. [p.47]
Q6. Integer triples (a, b, c) with a² + b² = c², like (3, 4, 5), are called Baudhāyana ______.
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Answer: triples
Why: Baudhāyana listed several in his Śulba-Sūtra. [p.48]
Why: Baudhāyana listed several in his Śulba-Sūtra. [p.48]
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Frequently asked questions
How many practice questions are there for Class 8 Mathematics Chapter 2: The Baudhāyana-Pythagoras Theorem?
50 questions (11 easy, 26 medium, 13 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 8 Mathematics syllabus, used by CBSE and many state boards.