Mastering Pythagoras' Theorem
Mathematics
GCSE Foundation
12 questions
~24 mins
0 views0 downloads
About This Worksheet
A worksheet covering Pythagoras' Theorem for GCSE Foundation students, including basic practice and applied questions to develop understanding.
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Mastering Pythagoras' Theorem
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
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Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the length of the hypotenuse in a right-angled triangle with legs of 6 cm and 8 cm.
[2 marks]2.
Find the length of a side opposite the right angle if the other two sides are 9 cm and 12 cm.
[2 marks]3.
What is the length of the hypotenuse in a triangle with legs of 5 cm and 12 cm?
[2 marks]4.
Calculate the length of a side in a right-angled triangle where the hypotenuse is 13 cm and one leg is 5 cm.
[2 marks]5.
A triangle has legs of 9 cm and 40 cm. Find the hypotenuse.
[2 marks]6.
What is the length of the hypotenuse in a right-angled triangle with sides 7 cm and 24 cm?
[2 marks]7.
In a right-angled triangle, if one leg is 15 cm and the hypotenuse is 17 cm, find the other leg.
[2 marks]8.
Determine the length of the side opposite the right angle if the other two sides are 8 cm and 15 cm.
[2 marks]9.
A ladder leans against a wall forming a right triangle. If the ladder is 10 meters long and the distance from the wall to the foot of the ladder is 6 meters, how high does the ladder reach on the wall?
[3 marks]10.
A rectangle has a diagonal of 20 meters and one side of 12 meters. Find the length of the other side.
[3 marks]11.
A kite has diagonals measuring 24 meters and 10 meters. Assuming the diagonals intersect at right angles, verify if it satisfies the Pythagoras' Theorem for the half-diagonals.
[4 marks]12.
A surveyor measures a right-angled triangle where the sides are 30 meters and 40 meters. What is the length of the hypotenuse? Use Pythagoras' Theorem to justify your answer.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet