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Important Questions

Pythagoras Theorem

ICSE · Class 9 · Mathematics

Most important questions from Pythagoras Theorem for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

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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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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Frequently Asked Questions

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.
How many important questions are there in Pythagoras Theorem?
There are 30 practice questions available for Pythagoras Theorem. These cover multiple question types including MCQs, short answer, and long answer questions.

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

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