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Formula Sheet

Pythagoras Theorem — Formula Sheet

ICSE · Class 9 · Mathematics

14 formulas from Pythagoras Theorem (ICSE Class 9 Mathematics) on one page, grouped by topic. 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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14 Entries · 7 Sections

Formulas and Key Relations

Core Theorem and Converse

AC^2 = AB^2 + BC^2

If BC^2 = AB^2 + AC^2, then ∠A = 90°

Triangle Type Test

AB^2 = AC^2 + BC^2

AB^2 > AC^2 + BC^2

AB^2 < AC^2 + BC^2

Pythagorean Triplets

a^2 + b^2 = c^2

Worked Problem Patterns

PA^2 + PB^2 = AB^2

QA^2 + QB'^2 = AB'^2

AP^2 + DP^2 = AD^2

c^2 = a^2 + b^2 + 2ax

PM^2 + RN^2 = PR^2 + MN^2

Core theorem and converse

If BC^2 = AB^2 + AC^2 and BC is the largest side, then angle A = 90 degrees.

Proof ideas and key area facts

In Triangle ABC with angle ABC = 90 degrees, squares are drawn on AC, AB, and BC.

Solved application patterns

PA equals 8 m because 17^2 - 15^2 = 64.

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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 formulas are in Pythagoras Theorem?
This sheet lists 14 formulas from Pythagoras Theorem, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Pythagoras Theorem for Class 9 exams?
Learn the core ideas first, then work through the 30 practice questions on Pythagoras Theorem. Revise 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 Theorem

All ICSE Class 9 Mathematics Formula Sheet

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