Skip to main content
Chapter 10 of 28
Formula Sheet

Isosceles Triangles — Formula Sheet

ICSE · Class 9 · Mathematics

8 formulas from Isosceles Triangles (ICSE Class 9 Mathematics) on one page, grouped by topic. Part of the ICSE Class 9 Mathematics syllabus.

35 questions20 flashcards8 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Isosceles Triangles? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for formula sheet and more.

Free trial, no card needed.

A labeled diagram illustrating an isosceles triangle with two equal sides and the angles opposite to them also being equal. Includes the definition of an equilateral triangle as a special case.
Super Tutor

Learn better with visuals Super Tutor pairs illustrations like this with notes and quizzes for Isosceles Triangles.

8 Entries · 3 Sections

Formulas and Key Relations

Main Theorems

If two sides of a triangle are equal, the angles opposite to them are also equal.

If two angles of a triangle are equal, the sides opposite to them are also equal.

Solved-Pattern Results

angle BAD : angle ADB = 3 : 1

Ext. angle CEA = the sum of two interior opposite angles = 32° + 36° = 68°

a + 80° + 80° = 180°

angle OBC = angle OBA = angle OCB = angle OCA

Important theorem proofs

In Theorem 1, angle ADB = angle ADC = 90° because AD is perpendicular to BC.

In Theorem 1, AB = AC, AD = AD, and angle ADB = angle ADC.

Full sheet with units and worked examples

View All

Frequently Asked Questions

What are the important topics in Isosceles Triangles for ICSE Class 9 Mathematics?
Key topics in Isosceles Triangles include Core ideas and definitions, Important theorem proofs, Other properties of isosceles triangles, Solved problem patterns to remember. Study these first, then practise questions on each for Class 9 exams.
How many formulas are in Isosceles Triangles?
This sheet lists 8 formulas from Isosceles Triangles, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Isosceles Triangles for Class 9 exams?
Learn the core ideas first, then work through the 35 practice questions on Isosceles Triangles. 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.

For serious students

Get the full Isosceles Triangles chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 9 Mathematics. Free to start, no card needed.