c² = a² + b²: Fluency & Practice
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the hypotenuse using the formula c² = a² + b². Designed for Grade 7 students to develop procedural mastery and problem-solving skills.
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Full preview • 11 questions
c² = a² + b²: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the hypotenuse c of a right-angled triangle with legs a=3 cm and b=4 cm.
[2 marks]2.
Find the length of the hypotenuse if one leg is 6 meters and the other leg is 8 meters.
[2 marks]3.
A right-angled triangle has legs of 9 units and 12 units. Calculate the hypotenuse length.
[2 marks]4.
Construct a right-angled triangle on the grid with legs of 5 and 12 units. Find the hypotenuse length.
[3 marks]5.
Calculate the hypotenuse for a triangle with legs of 7 cm and 24 cm.
[2 marks]6.
A ladder leans against a wall. The ladder is 10 meters long, and the foot of the ladder is 6 meters from the wall. How high does the ladder reach on the wall?
[3 marks]7.
A rectangular garden is 9 meters long and 12 meters wide. What is the length of the diagonal path across the garden?
[3 marks]8.
A right triangle has hypotenuse 17 units. If one leg is 8 units, find the length of the other leg.
[2 marks]9.
Using the grid, construct a right-angled triangle with legs of 6 and 8 units. Calculate and verify the hypotenuse.
[3 marks]10.
A square-based pyramid has a slant height of 13 meters and half the base length of 5 meters. Find the vertical height of the pyramid using Pythagoras' theorem.
[3 marks]11.
Identify and correct the mistake: A student claims that if one leg is 9 and the hypotenuse is 15, then the other leg is 12. Is this correct? Explain your reasoning.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet