Pythagoras's theorem on the Cartesian plane

In this lesson, we will learn how to use Pythagoras's theorem on the Cartesian plane to help you find the distance between two given points.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

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?

mnp

1/7

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

10 cm√10 cm13√13

2/7

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

12 cm48 cm80 cm√80

3/7

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

2, 3, 43, 4, 55, 6, 7

4/7

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

She did not need to square the numbers.She did not identify the hypotenuse correctly.She should have written 6 + 10 = x squared.

5/7

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

Mixed up the hypotenuse and shorter side lengths.Made a mistake with re arranging the equation.She doubled the sides instead of squaring.

6/7

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

Multiply 32 x 68 then divide by 2.Find the length of the perpendicular height using Pythagoras then multiply by 32.Find the length of the perpendicular height using Pythagoras then multiply by 68Find the length of the perpendicular height using Pythagoras, multiply by 32 then divide by 2.

7/7

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

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?

mnp

1/7

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

10 cm√10 cm13√13

2/7

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

12 cm48 cm80 cm√80

3/7

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

2, 3, 43, 4, 55, 6, 7

4/7

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

She did not need to square the numbers.She did not identify the hypotenuse correctly.She should have written 6 + 10 = x squared.

5/7

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

Mixed up the hypotenuse and shorter side lengths.Made a mistake with re arranging the equation.She doubled the sides instead of squaring.

6/7

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

7/7

Video

Play 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

PDF

PPTX

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.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.