Students learn how to use Pythagoras' Theorem to calculate missing lengths in right-angled triangles. As learning progresses they solve more complex problems involving triangular shapes.
The start of the lesson recaps using Pythagoras' Theorem to show whether a triangle is right-angled. At the end students apply their learning to solve a complex problem involving the perimeter of a triangle and area of a square.
Lengths in Right-Angled Triangles Differentiated Learning Objectives
- All students should be able to use Pythagoras’ Theorem to find any length of a right-angled triangle.
- Most students should be able to use Pythagoras’ Theorem to find the height or base of an isosceles triangle.
- Some students should be able to prove Pythagoras’ Theorem using algebra.