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Important Questions

Pythagoras Theorem

Maharashtra Board · Class 10 · Mathematics

Most important questions from Pythagoras Theorem for Maharashtra Board Class 10 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

43 questions20 flashcards5 concepts

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43 Questions·
multiple choicemultiple correcttext answertrue false

Sample Questions

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?
Pythagoras Theorem covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Pythagoras Theorem — Maharashtra Board Class 10 Mathematics?
Understand the core concepts first, then work through the 43 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Pythagoras Theorem?
There are 43 practice questions available for Pythagoras Theorem. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

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

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