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Pythagoras Theorem — Practice Quiz

ICSE · Class 9 · Mathematics

Try a 4-question quiz on Pythagoras Theorem for ICSE Class 9 Mathematics: tap an answer to check it and see why. 30 questions in the full chapter test.

30 questions25 flashcards14 formulas & key relations5 concepts

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A visual representation of the area-based proof of Pythagoras Theorem, showing squares constructed on each side of a right-angled triangle, and how their areas relate.
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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-angled triangle, if one leg is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?

2

A ladder 13 m long is placed against a wall. The foot of the ladder is 5 m away from the wall. How high does the ladder reach on the wall?

3

A rectangle has length 12 cm and width 9 cm. What is the length of its diagonal?

4

If the hypotenuse of a right triangle is 10 cm and one leg is 6 cm, what is the other leg?

30 Questions·
multiple choicemultiple correcttext answermatchingordering

Sample Questions

1multiple correct

Which of the following sets of numbers form Pythagorean triplets?

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3, 4, 5, 5, 12, 13, 8, 15, 17, 7, 24, 25

Check each: 3² + 4² = 9 + 16 = 25 = 5² ✓; 5² + 12² = 25 + 144 = 169 = 13² ✓; 8² + 15² = 64 + 225 = 289 = 17² ✓; 7² + 24² = 49 + 576 = 625 = 25² ✓; 6² + 8² = 36 + 64 = 100 ≠ 144 = 12² ✗

2text answer

In a right triangle ABC with right angle at B, if AB = 6 cm and BC = 8 cm, find AC.

Show answer

10 cm

In right triangle ABC, AC is the hypotenuse. So AC^2 = AB^2 + BC^2 = 6^2 + 8^2 = 36 + 64 = 100, hence AC = 10 cm.

3text answer

In an isosceles right triangle with legs of 5 cm each, what is the hypotenuse?

Show answer

5√2 cm

An isosceles right triangle with equal legs 5 cm each has hypotenuse^2 = 5^2 + 5^2 = 50. So the hypotenuse = √50 = 5√2 cm.

4matching

Match the following triangles with their classifications:

Show answer

Sides: 3, 4, 5 → Right triangle

Check each: 3² + 4² = 5² (right); 2² + 3² = 13 > 16 = 4² (acute); 6² + 8² = 100 < 144 = 12² (obtuse); 5² + 12² = 13² (right).

+26 more questions on Pythagoras Theorem (ICSE Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Pythagoras Theorem for ICSE Class 9 Mathematics?
Key topics in Pythagoras Theorem include Core theorem and converse, Proof ideas and key area facts, Triangle type test and Pythagorean triplets, Solved application patterns. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Pythagoras Theorem?
There are 30 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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