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Pythagoras Theroem

ICSE · Class 7 · Mathematics

Complete topic list for Pythagoras Theroem in ICSE Class 7 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

71 questions24 flashcards5 concepts

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4 Topics · ICSE Class 7 Mathematics

Topics in Pythagoras Theroem

1

1. Hypotenuse and Basic Idea

  • In a right-angled triangle, the side opposite the angle of 90 degrees is called the hypotenuse.
  • The hypotenuse is always the largest side of the triangle.
  • In triangle ABC with angle ABC = 90 degrees, side AC is the hypotenuse.
2

2. Statement of Pythagoras Theorem

  • In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
  • This is the main rule used for finding unknown sides.
  • When the right angle is at A in triangle ABC, BC is the hypotenuse and BC^2 = AB^2 + AC^2.
3

3. Finding a Missing Side - Solved Examples

  • Example 2: In triangle XYZ right-angled at Z, XY = 15 cm and XZ = 9 cm, so YZ = 12 cm.
  • Example 3: In triangle PQR right-angled at R, PQ = 25 cm and QR = 20 cm, so PR = 15 cm.
  • When the hypotenuse is given, subtract the square of the known side from the square of the hypotenuse.
4

4. Testing Whether a Triangle is Right-Angled

  • A triangle with sides 20 cm, 9 cm and 12 cm is not right-angled.
  • The longest side is 20 cm.
  • Compare 20^2 with 9^2 + 12^2.

Key Concepts

Central concept: Pythagoras Theorem

HypotenuseRight-angled trianglePythagoras theoremConverse of Pythagoras theoremHistorical noteWorked examplesTriangle conditionsCommon mistakes

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.

Sources & Official References

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

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All 25 chapters — ICSE Class 7 Mathematics Syllabus

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