Pythagoras: Finding right-angled triangles

In this lesson, you will learn how to use Pythagoras's theorem to find the height of triangles.

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!

Question 6

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

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!

Question 6

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

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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.

Quiz:

Finding right-angled triangles

Exit Quiz

Question 7

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

Quiz:

Finding right-angled triangles

Exit Quiz

Question 7

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

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