Class 8 Mathematics — Chapter 9: The Baudhayana–Pythagoras Theorem
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise the most important Class 8 Mathematics questions from Chapter 9, "The Baudhayana–Pythagoras Theorem" — 72 NCERT-aligned multiple-choice questions with answers and explanations. The set is split into 24 Easy, 24 Medium and 24 Hard, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.
"The Baudhayana–Pythagoras Theorem" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+4 correct, −1 wrong, 0 skipped), training the same negative-marking accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on The Baudhayana–Pythagoras Theorem, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A sample question is shown below; sign in free to see its answer and practise all 72.
Key concepts: The Baudhayana–Pythagoras Theorem (Class 8 Mathematics)
This chapter builds the Baudhāyana–Pythagoras theorem, one of the oldest results in geometry. In any right-angled triangle the square on the hypotenuse (the side opposite the right angle) equals the sum of the squares on the other two sides: a² + b² = c². You use it to find a missing side, to recognise Pythagorean triples like (3, 4, 5) and (5, 12, 13), and to solve real problems about diagonals, ladders and distances — as well as Baudhāyana's idea that a square's diagonal builds a square of double the area.
- Right-angled triangle
- A triangle with one 90° angle. The side opposite that angle is the hypotenuse, and it is always the longest side.
- Baudhāyana–Pythagoras theorem
- In a right-angled triangle, a² + b² = c², where a and b are the legs and c is the hypotenuse — the square on the hypotenuse equals the sum of the squares on the legs.
- Finding the hypotenuse
- When both legs are known, the hypotenuse is c = √(a² + b²); for legs 6 and 8 the hypotenuse is √100 = 10.
- Finding a leg
- When the hypotenuse and one leg are known, the other leg is √(c² − b²) — you subtract before taking the root.
Try a sample question
One free sample from this chapter — sign in to check your answer and practise the rest.
Find the hypotenuse of a right triangle with legs 9 and 12.
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See the answer and solution to this question, then practise all 72 questions (24 Easy · 24 Medium · 24 Hard) with timed scoring and instant feedback, plus the complete key-concept notes, formulas & exam tips. Sign in with Google — no card needed.
Start this chapter free →The Baudhayana–Pythagoras Theorem — FAQs
What are the key concepts in Class 8 Mathematics The Baudhayana–Pythagoras Theorem?+
This chapter builds the Baudhāyana–Pythagoras theorem, one of the oldest results in geometry. In any right-angled triangle the square on the hypotenuse (the side opposite the right angle) equals the sum of the squares on the other two sides: a² + b² = c². You use it to find a missing side, to recognise Pythagorean triples like (3, 4, 5) and (5, 12, 13), and to solve real problems about diagonals, ladders and distances — as well as Baudhāyana's idea that a square's diagonal builds a square of double the area. Key ideas include Right-angled triangle, Baudhāyana–Pythagoras theorem, Finding the hypotenuse, Finding a leg.
What does Class 8 Mathematics Chapter 9 (The Baudhayana–Pythagoras Theorem) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "The Baudhayana–Pythagoras Theorem" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.
Are these "The Baudhayana–Pythagoras Theorem" questions free to practise?+
Yes — sign in with Google to practise "The Baudhayana–Pythagoras Theorem" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "The Baudhayana–Pythagoras Theorem" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Are these "The Baudhayana–Pythagoras Theorem" MCQs available with answers?+
Yes. This page shows one sample question so you can see the format; sign in free with Google to reveal the correct option and a step-by-step "Why" explanation for it, then practise all 72 questions with instant scoring.
Is there negative marking in the "The Baudhayana–Pythagoras Theorem" quizzes?+
Yes — the timed quizzes use exam-grade marking: +4 for a correct answer, −1 for a wrong one and 0 for a skipped question, so you practise the same negative-marking discipline as CBSE Board exams.
Are these important questions for The Baudhayana–Pythagoras Theorem?+
The set is curated to the NCERT syllabus and weighted toward the question patterns that actually appear in CBSE Board exams, across Easy, Medium and Hard — so it doubles as an "important questions" revision list for "The Baudhayana–Pythagoras Theorem".