Pythagoras Application: Error Analysis & Misconceptions
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying the Pythagoras Theorem to find distances between points, addressing common misconceptions and errors.
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Pythagoras Application: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the distance between points A(3, 4) and B(7, 1).
[2 marks]2.
A triangle has vertices at (2, 3), (6, 3), and (2, 7). Calculate the length of the hypotenuse between (6, 3) and (2, 7).
[3 marks]3.
The points P(5, 2) and Q(5, 8) are on the same vertical line. What is the distance between them?
[1 mark]4.
Error Analysis: A student calculates the distance between (1, 2) and (4, 6) as 5. Identify the mistake and correct it.
[3 marks]5.
Construct a right-angled triangle with one leg of length 3 units and the other of length 4 units. Calculate the hypotenuse.
[2 marks]6.
Plot the points (1, 1) and (4, 5) on the grid. Use the grid to estimate the distance between them.
[2 marks]7.
In a right triangle with legs of 6 and 8 units, what is the length of the hypotenuse?
[2 marks]8.
A student incorrectly applies the Pythagoras theorem and finds the hypotenuse as 15 in a triangle with legs 9 and 12. Is this correct? If not, find the correct length.
[3 marks]9.
A ladder leaning against a wall forms a right triangle with the ground and the wall. The ladder is 13 meters long, and its foot is 5 meters from the wall. How high up the wall does the ladder reach?
[3 marks]10.
Error Identification: A student claims that the distance between (2, 3) and (2, 8) is 5 units. Is this correct? If not, what is the correct distance?
[2 marks]11.
Calculate the distance between points (-3, -4) and (4, 3).
[2 marks]12.
Challenge: A right triangle has legs of length 7 and 24 units. Find the length of the hypotenuse. Show your working.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet