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Important Questions

Pythagoras Theorem — Important Questions

ICSE · Class 9 · Mathematics

30 important questions from Pythagoras Theorem for ICSE Class 9 Mathematics, with answers. Part of the ICSE Class 9 Mathematics syllabus.

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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30 Questions·
multiple choicemultiple correcttext answermatchingordering

Important Questions from Pythagoras Theorem

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).

+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 important questions are there in Pythagoras Theorem?
Super Tutor has 30 practice questions for Pythagoras Theorem, including multiple choice, multiple correct, text answer, matching, ordering questions. A sample with answers is on this page.

Sources & Official References

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

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All ICSE Class 9 Mathematics Important Questions

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