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Pythagoras Theorem — Practice Quiz

Maharashtra Board · Class 10 · Mathematics

Try a 4-question quiz on Pythagoras Theorem for Maharashtra Board Class 10 Mathematics: tap an answer to check it and see why.

43 questions28 flashcards17 formulas & key relations5 concepts

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Quick Quiz: Pythagoras Theorem

0/4

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 ✓

+39 more questions on Pythagoras Theorem (Maharashtra Board Class 10 Mathematics)

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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 practice questions are there for Pythagoras Theorem?
There are 43 questions on Pythagoras Theorem. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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