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Important Questions

Pythagoras Theroem

ICSE · Class 7 · Mathematics

Most important questions from Pythagoras Theroem for ICSE Class 7 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

71 questions24 flashcards5 concepts

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71 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice
3 marks

In right-angled triangle ABC, angle C = 90°. If AB = 25 cm and AC = 7 cm, what is BC?

Show answer

24 cm

1. Since angle C = 90°, AB is the hypotenuse. 2. Use AB^2 = AC^2 + BC^2. 3. 25^2 = 7^2 + BC^2. 4. 625 = 49 + BC^2. 5. BC^2 = 625 - 49 = 576. 6. BC = √576 = 24 cm.

2multiple choice
3 marks

Triangle ACD is right-angled at C. If AD = 17 cm and AC = 15 cm, what is CD?

Show answer

8 cm

1. AD is the hypotenuse because angle ACD = 90°. 2. Use AC^2 + CD^2 = AD^2. 3. 15^2 + CD^2 = 17^2. 4. 225 + CD^2 = 289. 5. CD^2 = 289 - 225 = 64. 6. CD = √64 = 8 cm.

3multiple choice
3 marks

In a figure, B, C and D are collinear. If BC = 20 cm and CD = 8 cm, what is BD?

Show answer

28 cm

1. Since C lies between B and D, BD = BC + CD. 2. BD = 20 + 8. 3. BD = 28 cm.

4multiple choice
3 marks

Triangle ABC has side lengths 7 cm, 24 cm, and 25 cm. Which statement is correct?

Show answer

It is a right-angled triangle because 25^2 = 7^2 + 24^2

1. The largest side is 25 cm. 2. Compute the squares: 25^2 = 625. 3. 7^2 + 24^2 = 49 + 576 = 625. 4. Since the squares are equal, the triangle is right-angled.

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Frequently Asked Questions

What are the important topics in Pythagoras Theroem for ICSE Class 7 Mathematics?
Pythagoras Theroem covers several key topics that are frequently asked in ICSE Class 7 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 Theroem — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 71 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 Theroem?
There are 71 practice questions available for Pythagoras Theroem. 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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