角的类型（13岁以上）
Types of angles (age 13+)
应用勾股定理（a² + b² = c²）计算直角三角形中的未知边长，包括在实际生活和坐标几何情境中的应用。
Apply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts
学习证据 / Evidence
- 已知直角三角形的两条直角边，计算斜边的长度
- 已知斜边和其中一条直角边，求另一条直角边的长度
- 在坐标网格上，利用勾股定理求两点之间的距离
- Calculate the hypotenuse of a right-angled triangle given the two shorter sides
- Find a shorter side given the hypotenuse and the other short side
- Use Pythagoras’ Theorem to find the distance between two points on a coordinate grid
评估问题 / Assessment
如果{{name}}想检查一个置物架支架是否构成标准直角，其边长分别为30厘米、40厘米和50厘米，{{name}}能否用勾股定理来验证？
If {{name}} wants to check whether a shelf bracket makes a perfect right angle and the sides measure 30 cm, 40 cm, and 50 cm, can they use Pythagoras to verify?