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Chapter Summary

Pythagoras Theroem

ICSE · Class 7 · Mathematics

Summary of Pythagoras Theroem for ICSE Class 7 Mathematics. Key concepts, important points, and chapter overview.

71 questions24 flashcards5 concepts

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Overview

Pythagoras theorem relates the sides of a right-angled triangle. The side opposite the 90° angle is called the hypotenuse, and it is the largest side. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. The converse helps decide whether a t

Key Concepts

In a right

In a right-angled triangle, the side opposite the 90° angle is called the hypotenuse. It is always the largest side of the triangle.

In a right

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. For triangle ABC, BC^2 = AB^2 + AC

If the square of the longest

If the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the angle opposite that longest side i

If the hypotenuse is known

If the hypotenuse is known, square it and subtract the square of one known side to get the square of the unknown side. For example, in triangle XYZ wi

A triangle with sides 20 cm

A triangle with sides 20 cm, 9 cm, and 12 cm is not right-angled because 20^2 = 400 and 9^2 + 12^2 = 225, and these are not equal.

Learning Objectives

  • Identify the hypotenuse in a right-angled triangle.
  • State Pythagoras theorem correctly.
  • Use the theorem to find an unknown side in a right-angled triangle.
  • Use the converse of Pythagoras theorem to test whether a triangle is right-angled.
  • Apply the rule of comparing squares of sides to classify triangles as right-angled, obtuse-angled, or acute-angled.

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.

More resources for Pythagoras Theroem

All 25 chapters — ICSE Class 7 Mathematics Chapter Summary

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