Cambridge KS3 Maths: Pythagoras’ Theorem | 剑桥初中数学：勾股定理

📚 Cambridge KS3 Maths: Pythagoras’ Theorem | 剑桥初中数学：勾股定理

This KS3 Cambridge revision guide covers the key facts you need for Pythagoras’ theorem, with worked examples and exam-style tips. It is designed for students working through page 181, exercise 2 and similar questions.

这本剑桥 KS3 复习指南涵盖勾股定理所需的关键知识点，配有例题和考试技巧。它适合正在学习第 181 页练习 2 及类似题目的学生。

1. What is Pythagoras’ Theorem? | 什么是勾股定理？

Pythagoras’ theorem is a rule that works only for right-angled triangles. It states that the square of the longest side, called the hypotenuse, is equal to the sum of the squares of the other two shorter sides.

勾股定理是一条只适用于直角三角形的规则。它指出，最长边（称为斜边）的平方等于另外两条较短边的平方和。

In symbols, for a right-angled triangle with legs a and b, and hypotenuse c:

用符号表示，对于直角边为 a 和 b、斜边为 c 的直角三角形：

a² + b² = c²

2. The Hypotenuse and the Legs | 斜边与直角边

The hypotenuse is always the side opposite the right angle. It is the longest side in the triangle. The other two sides are called the legs, and they form the right angle.

斜边始终是直角三角形中直角对面的那条边。它是三角形中最长的边。另外两条边称为直角边，它们形成直角。

Always label the hypotenuse as c before substituting into the formula. This avoids many common mistakes.

在代入公式之前，始终将斜边标为 c。这可以避免许多常见错误。

3. The Formula a² + b² = c² | 公式 a² + b² = c²

The formula says that if you square both shorter sides and

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