Non-right-angled: Real-world Applications in Art & Patterns
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the area of non-right-angled triangles with real-world contexts related to art and patterns. Students will apply the formula ½abSinC to various problems, enhancing procedural skills and problem-solving abilities.
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Full preview • 13 questions
Non-right-angled: Real-world Applications in Art & Patterns
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 area of a triangle with sides 8 cm and 6 cm, and included angle 60°. Use the formula ½abSinC.
[3 marks]2.
Given two sides of a triangle are 10 cm and 7 cm, with an included angle of 45°, find the area.
[3 marks]3.
A pattern in art involves a triangle with sides 12 cm and 9 cm, and an angle of 75°. What is its area?
[3 marks]4.
Construct a triangle with sides 5 cm and 7 cm, and included angle 50°. Calculate its area.
[3 marks]5.
In an art pattern, a triangle has sides 9 cm and 11 cm with an included angle of 30°. Find its area.
[3 marks]6.
A triangle has sides 13 cm and 14 cm with an angle of 80°. What's its area?
[3 marks]7.
If two sides of a triangle are 6 cm and 8 cm, and the included angle is 120°, calculate its area.
[3 marks]8.
A triangle in pattern design has sides 7 cm and 10 cm, with an included angle of 85°. Find its area.
[3 marks]9.
A triangle has sides 15 cm and 9 cm, with an included angle of 60°. Calculate its area.
[3 marks]10.
A complex pattern features a triangle with sides 14 cm and 11 cm, and an angle of 95°. Find its area.
[3 marks]11.
Identify and correct the mistake: A student calculates the area of a triangle with sides 8 cm and 12 cm and an angle of 45° using the same formula but gets 32.4. What's wrong?
[4 marks]12.
A pattern artist designs a triangle with sides 9 cm and 13 cm, and included angle 70°. How can understanding this calculation help in creating symmetrical patterns?
[4 marks]13.
Challenge: A large mural involves triangles with sides 20 m and 15 m, and an angle of 60°. Calculate the total area covered by these triangles if 8 such triangles are used.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet