a² = c² - b²: Fluency & Practice
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying the formula a² = c² - b² to find the shorter side of a right-angled triangle. Designed for Grade 8 students to develop procedural mastery and problem-solving skills.
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a² = c² - b²: Fluency & Practice
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 shorter side a when the hypotenuse c = 13 units and the longer side b = 5 units.
[2 marks]2.
Given a triangle with sides c = 15 units and b = 9 units, find side a.
[2 marks]3.
A right triangle has hypotenuse c = 17 units and one leg b = 8 units. Calculate the length of the other leg a.
[2 marks]4.
Construct a right-angled triangle on the grid where the hypotenuse c = 10 units and one leg b = 6 units. Find the other leg a.
[3 marks]5.
In a triangle, the hypotenuse c = 20 units and the shorter side a = 16 units. Find the longer side b.
[2 marks]6.
A ladder leans against a wall, forming a hypotenuse c = 25 meters. The distance from the wall to the base of the ladder is 15 meters. Find the height of the ladder on the wall (side a).
[3 marks]7.
Calculate side a if c = 29 units and b = 20 units.
[2 marks]8.
Construct a right triangle with hypotenuse c = 12 units and one side b = 5 units. Find the other side a.
[3 marks]9.
A diagonal of a rectangle measures 25 meters, and one side is 15 meters. Find the length of the other side using the formula a² = c² - b².
[3 marks]10.
Calculate side a when the hypotenuse c = 18 units and side b = 12 units.
[2 marks]11.
An engineer calculates a support beam to be 14 meters long, with a foot of the support forming a right angle with the ground. The distance from the building to the support's endpoint is 18 meters. Find the height (side a) of the support.
[3 marks]12.
Error Analysis: A student calculates a = √(c² - b²) for c = 16 and b = 9, but gets 7. How should they correct their calculation?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet