The hypotenuse is the side of a right-angled triangle which is opposite the right angle.

Pythagoras’ theorem states that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of the hypotenuse.

Checking and further securing understanding of Pythagoras' theorem

Maths

Using Pythagoras' theorem to justify a right-angled triangle

Calculating the length of a line segment

Checking and securing understanding of the unit circle

Checking and securing understanding of sine ratio problems

Checking and securing understanding of cosine problems

Checking and securing understanding of tangent ratio problems

Calculate trigonometric ratios for 30° and 60°

Calculate trigonometric ratios for 0°, 45° and 90°

Applying trigonometric ratios in context

Problem solving with right-angled trigonometry

In this unit, pupils have explored the trigonometric ratios for right-angled triangles in a variety of situations. In the future unit, pupils explore what can be done when we have a triangle that is not right-angled.

In the prior unit, pupils were introduced to the trigonometric ratios and developed the skills to ascertain which ratio would be appropriate for a given problem. In this unit, pupils are introduced to a variety of situations where this knowledge is required, such as 3-D problems and elevation/depression.

In this unit, pupils are introduced to a variety of situations where trigonometric ratios are required, such as 3-D problems and problems of elevation or depression.

Right-angled trigonometry

The hypotenuse is the __________ edge of a right-angled triangle and is always opposite the right angle.

Given that Pythagoras’ theorem states that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of its longest side (the hypotenuse), a = ...

Pythagoras' theorem as a formula is $$c^2=a^2+b^2$$, where $$c$$ is the hypotenuse. Which of the following are correct rearrangements of the formula?

Izzy has used her calculator to find the square root of 648. Which of these are correct for the given degree of accuracy?

If a square has an edge length of 19 cm, then its area is {{ }} $$\text{ cm}^2$$.

A square has an area of 1024$$\text{ cm}^2$$. What is the edge length of the square?

A square has an area of 1369$$\text{ m}^2$$. What is the perimeter of this square?

Checking and further securing understanding of Pythagoras' theorem

Lesson outcome