Mastering Pythagoras' Theorem
Mathematics
Grade 8
11 questions
~22 mins
0 views0 downloads
About This Worksheet
A worksheet covering Pythagoras' Theorem for Grade 8 students, including fundamental understanding and application questions.
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Mastering Pythagoras' Theorem
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.
State the Pythagorean theorem formula.
[1 mark]2.
Calculate the hypotenuse of a right-angled triangle with legs of 3 cm and 4 cm.
[2 marks]3.
Find the length of one leg if the hypotenuse is 13 cm and the other leg is 5 cm.
[2 marks]4.
A right triangle has legs of 6 m and 8 m. What is the length of the hypotenuse?
[2 marks]5.
True or False: In a right-angled triangle, the hypotenuse is always the longest side.
[1 mark]6.
Calculate the length of the missing side in a right triangle with hypotenuse 10 cm and one leg 6 cm.
[2 marks]7.
A ladder leans against a wall forming a right triangle. If the ladder is 15 meters long and the distance from the wall to the foot of the ladder is 9 meters, what is the height reached on the wall?
[3 marks]8.
A square has a diagonal of 10√2 cm. What is the length of each side?
[2 marks]9.
In a right triangle, if the legs are 7 and 24 units, what is the length of the hypotenuse?
[2 marks]10.
Challenge: A kite flies at a height of 60 meters above the ground. Its string is 80 meters long, and the string makes a 30° angle with the ground. How far is the kite horizontally from the point where the string is attached to the ground?
[4 marks]11.
Real-world Application: A rectangular garden is 30 meters long and 40 meters wide. A diagonal path is to be constructed across the garden. What is the length of the diagonal path?
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet