# Pythagoras: Finding right-angled triangles

In this lesson, we will learn how to use Pythagoras's theorem to find the height of triangles with and without right angles.

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

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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.Which side the the hypotenuse of the below triangle?

1/6

Q2.The digram shows a right-angled triangle. Which of the statements is correct?

2/6

Q3.Which equation does NOT relate to the triangle show below?

3/6

Q4.Work out the length of the hypotenuse of the triangle shown below.

4/6

Q5.Find the length of the missing side of the right-angled triangle.

5/6

Q6.Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:

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.Which side the the hypotenuse of the below triangle?

1/6

Q2.The digram shows a right-angled triangle. Which of the statements is correct?

2/6

Q3.Which equation does NOT relate to the triangle show below?

3/6

Q4.Work out the length of the hypotenuse of the triangle shown below.

4/6

Q5.Find the length of the missing side of the right-angled triangle.

5/6

Q6.Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:

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:

# Finding right-angled triangles

Exit Quiz

Q1.Which side the the hypotenuse of the below triangle?

1/7

Q2.The digram shows a right-angled triangle. What is the length of the hypotenuse?

2/7

Q3.The right-angled triangle ABC has short sides of length 8 cm and 4 cm. Find the length of AC.

3/7

Q4.Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:

4/7

Q5.Sandra tried to calculate the unknown length. What mistake has she made in Step 1?

5/7

Q6.Sandra tried to calculate the unknown length. What mistake has she made in Step 2?

6/7

Q7.What do you need to do in order to find the area of the triangle shown below.

7/7

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

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

# Finding right-angled triangles

Exit Quiz

Q1.Which side the the hypotenuse of the below triangle?

1/7

Q2.The digram shows a right-angled triangle. What is the length of the hypotenuse?

2/7

Q3.The right-angled triangle ABC has short sides of length 8 cm and 4 cm. Find the length of AC.

3/7

Q4.Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:

4/7

Q5.Sandra tried to calculate the unknown length. What mistake has she made in Step 1?

5/7

Q6.Sandra tried to calculate the unknown length. What mistake has she made in Step 2?

6/7

Q7.What do you need to do in order to find the area of the triangle shown below.

7/7

# Lesson summary: Pythagoras: Finding right-angled triangles

## Time to move!

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