Pythagoras and right angle triangles
In lessons one and two, explore right-angled triangles and Pythagoras' theorem using simplified engineering drawings, and use co-ordinates to create a simple map of the proposed Thames Tideway Tunnel route.
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Maths KS3 Lesson 1: Right Angles and Pythagoras
Screen 1.1: This map shows the Combined Sewer Overflow (CSO) sites that we will connect to the Thames Tideway Tunnel to control sewerage discharge into the river. Click on the next arrow to see a foreshore site.
Screen 1.2: This is a typical 'foreshore' site. During construction a 'cofferdam' will reclaim some of the foreshore land for a temporary period, to allow construction to take place. Click on the next arrow to view a typical CSO.
Screen 1.3: Under the ground, we will build a drop shaft over 40m deep. This will link the existing sewer to the new Main Tunnel, deep under the River Thames.
Screen 3.1: Find out how Pythagoras' Theorem helps us calculate the lengths of a right angled triangle.
Screen 3.2: Find out how Pythagoras' Theorem helps us calculate the lengths of a right angled triangle.
3.2 b: Correct answer
Screen 3.3: By using Pythagoras' Theorem, Engineers can determine the length, depth and 'drop' of pipes.
3.3b: The correct answer
Screen 3.4: Pythagoras' Theorem also helps calculate the gradient, or slope, of a pipe or tunnel section.
3.4b: The correct answer
Screen 3.5: Pythagoras' Theorem also helps calculate the gradient, or slope, of a pipe or tunnel section.
3.5b: The correct answer