# Right-angled triangles and tilted squares

In this lesson, we will explore how to find side lengths of triangles which lie on tilted squares.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.What is the length of the line below?

1/6

Q2.What is the length of the line below?

2/6

Q3.What is the length of the line below?

3/6

Q4.Which statement best describes the blue and red lines shown in the diagram?

4/6

Q5.What is the length of the missing side of the triangle, labelled n?

5/6

Q6.What is the length of the missing side of the triangle, labelled m?

6/6

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.What is the length of the line below?

1/6

Q2.What is the length of the line below?

2/6

Q3.What is the length of the line below?

3/6

Q4.Which statement best describes the blue and red lines shown in the diagram?

4/6

Q5.What is the length of the missing side of the triangle, labelled n?

5/6

Q6.What is the length of the missing side of the triangle, labelled m?

6/6

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Right-angled triangles and tilted squares

Exit Quiz

Q1.Look at the diagram below and fill in the gap: The area of the larger square is equal to the ........... of the area of the two smaller squares.

1/6

Q2.What is the side length of the larger square?

2/6

Q3.What is the side length of the larger square?

3/6

Q4.What is the side length of the larger square?

4/6

Q5.If the pink triangle has a base of 10 and a height of 2. What is the area of the green tilted square?

5/6

Q6.If the pink triangle has a base of 10 and a height of 2. What is the side length of the green square?

6/6

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Right-angled triangles and tilted squares

Exit Quiz

Q1.Look at the diagram below and fill in the gap: The area of the larger square is equal to the ........... of the area of the two smaller squares.

1/6

Q2.What is the side length of the larger square?

2/6

Q3.What is the side length of the larger square?

3/6

Q4.What is the side length of the larger square?

4/6

Q5.If the pink triangle has a base of 10 and a height of 2. What is the area of the green tilted square?

5/6

Q6.If the pink triangle has a base of 10 and a height of 2. What is the side length of the green square?

6/6

# Lesson summary: Right-angled triangles and tilted squares

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Walk

On the spot:
Dance