Pythagoras’ Theorem/Gradients
Key Stage: 4 ★★★
A cube of 1 metre by 1 metre by 1 metre has one face on the ground and one face pushed up against a wall. A 4 metre long ladder is leaning against the wall, just touching the cube. How high is the top of the ladder above the ground?
This resource can be approached in a number of algebraic ways, including use of co-ordinate geometry, Pythagoras’ theorem and trigonometry, with scope for generalising.
This resource has comprehensive teachers' notes and resources, linked from the problem page.
This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 4 ★★★
A cube of 1 metre by 1 metre by 1 metre has one face on the ground and one face pushed up against a wall. A 4 metre long ladder is leaning against the wall, just touching the cube. How high is the top of the ladder above the ground?
This resource can be approached in a number of algebraic ways, including use of co-ordinate geometry, Pythagoras’ theorem and trigonometry, with scope for generalising.
This resource has comprehensive teachers' notes and resources, linked from the problem page.
This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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