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Pythagoras Theorem

ICSE · Class 9 · Mathematics

Practice quiz for Pythagoras Theorem — ICSE Class 9 Mathematics. MCQs and questions with answers to test your preparation.

30 questions25 flashcards5 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

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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.

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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?

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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:

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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).

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What are the important topics in Pythagoras Theorem for ICSE Class 9 Mathematics?
Pythagoras Theorem covers several key topics that are frequently asked in ICSE Class 9 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 — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 30 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

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