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Students use Pythagoras' theorem to find the unknown sides of right-angled triangles in three practical problems.

Students use Pythagoras' theorem to decide whether triangles are right-angled based on the lengths of their sides.

Students need to apply their knowledge of Pythagoras' theorem to prove that a triangle of given measurements is right-angled.

Students find out the length of the sides of triangles using Pythagoras' theorem, and show their working.

In the context of kicking a goal at rugby, students use Pythagoras' theorem to calculate distance. Students then use trigonometry to work out if the kick passes through the posts.

Using Pythagoras' theorem and trigonometry ratios, students calculate distances between people standing in a paddock.

Students use their knowledge of the trigonometric functions sine, cosine, and tangent to calculate the length of sides of sails in a diagram of a yacht.

Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.