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Pythagoras Theorem

Maharashtra Board · Class 10 · Mathematics

Practice quiz for Pythagoras Theorem — Maharashtra Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.

43 questions28 flashcards5 concepts

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Quick Quiz: Pythagoras Theorem

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Tap an answer to check it instantly. No sign-up needed for these 4.

1

In a right triangle with sides 3 cm and 4 cm, what is the length of the hypotenuse?

2

In a 30-60-90 triangle, if the hypotenuse is 10 cm, what is the length of the side opposite to the 30° angle?

3

A ladder of length 13 m is placed against a wall. If the foot of the ladder is 5 m from the wall, how high up the wall does the ladder reach?

4

In triangle ABC with sides 6 cm, 8 cm, and 10 cm, what type of triangle is it?

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.

Sources & Official References

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

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