5

2

Keywords:

pythagoras theorem

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

5

2

Keywords:

pythagoras theorem

5

4

Keywords:

pythagoras theorem

right angled triangles

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

6

0

Keywords:

pythagoras theorem

right angled triangles

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

6

0

Keywords:

pythagoras theorem

right angled triangles

trigonometry

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

6

1

Keywords:

pythagoras theorem

right angled triangles

trigonometry

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.

5

6

1

Keywords:

cosine

pythagoras theorem

sine

tangents

trigonometry

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

6

1

Keywords:

cosine

sine

tangents

trigonometry

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.

5

3

Keywords:

cosine

right angled triangles

sine

tangents

trigonometry

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.