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Important Questions

Pythagoras Theorem — Important Questions

Maharashtra Board · Class 10 · Mathematics

43 important questions from Pythagoras Theorem for Maharashtra Board Class 10 Mathematics, with answers. Written for the board exams 2027.

43 questions28 flashcards17 formulas & key relations5 concepts

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43 Questions·
multiple choicemultiple correcttext answertrue false

Important Questions from Pythagoras Theorem

1multiple correct

Which of the following are Pythagorean triplets?

Show answer

(5, 12, 13), (8, 15, 17), (7, 24, 25)

For Pythagorean triplets, the square of the largest number equals the sum of squares of the other two. Check: 13² = 169 = 25 + 144 = 5² + 12² ✓, 17² = 289 = 64 + 225 = 8² + 15² ✓, 25² = 625 = 49 + 576 = 7² + 24² ✓, but 12² = 144 ≠ 36 + 64 = 6² + 8² ✗

2text answer

What is the length of each equal side in a 45-45-90 triangle if the hypotenuse is 6√2 cm?

3text answer

If the geometric mean of two segments is 12 and one segment is 9, what is the length of the other segment?

4multiple choice

Which formula generates Pythagorean triplets when a = 4 and b = 3?

Show answer

(a² + b², a² - b², 2ab) = (25, 7, 24)

Using the formula with a = 4, b = 3: a² + b² = 16 + 9 = 25, a² - b² = 16 - 9 = 7, 2ab = 2×4×3 = 24. So the triplet is (25, 7, 24). Verify: 25² = 625 = 49 + 576 = 7² + 24² ✓

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Frequently Asked Questions

What are the important topics in Pythagoras Theorem for Maharashtra Board Class 10 Mathematics?
Key topics in Pythagoras Theorem include Core statement and notation, Pythagorean triplets, Special right angled triangles, Similarity, geometric mean, and the main proof. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How many important questions are there in Pythagoras Theorem?
Super Tutor has 43 practice questions for Pythagoras Theorem, including multiple choice, multiple correct, text answer, true false questions. A sample with answers is on this page.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Maharashtra Board Class 10 Mathematics Important Questions

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