3 Sides Given: Error Analysis & Misconceptions
Mathematics
Grade 6
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on constructing triangles when three sides are given, highlighting common errors, misconceptions, and problem-solving skills.
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3 Sides Given: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Construct triangles with the given sides. Show all steps clearly.
1.
Construct a triangle with sides measuring 5 cm, 7 cm, and 9 cm. Use the grid to draw accurately.
[3 marks]2.
Construct a triangle with sides 4 cm, 6 cm, and 8 cm. Verify that the triangle is valid.
[3 marks]3.
Construct a triangle with sides measuring 3 cm, 4 cm, and 7 cm. Is such a triangle possible? Explain.
[4 marks]4.
Construct a triangle with sides 10 cm, 10 cm, and 15 cm. Show your construction process.
[3 marks]B
Targeted Practice & Reasoning
Apply your understanding to more complex problems and identify errors.
1.
A student attempts to construct a triangle with sides 6 cm, 9 cm, and 12 cm, but the points do not form a triangle. What mistake might they have made? Explain.
[4 marks]2.
Construct a triangle with sides 8 cm, 15 cm, and 17 cm. Calculate the perimeter and verify if the construction is possible without error.
[4 marks]3.
Construct two triangles: one with sides 5 cm, 12 cm, 13 cm, and another with sides 5 cm, 12 cm, 20 cm. Which is valid? Why?
[4 marks]4.
Construct a triangle with sides measuring 7 cm, 24 cm, and 25 cm. Confirm your construction by measuring the sides.
[3 marks]5.
Explain why a triangle with sides 2 cm, 2 cm, and 5 cm cannot be constructed. Use the triangle inequality theorem.
[3 marks]C
Challenge & Extension
Attempt these advanced problems to deepen your understanding.
1.
Construct a triangle with sides measuring 9 cm, 12 cm, and 16 cm. Then, find the area of the triangle using Heron's formula.
[5 marks]2.
Given sides 13 cm, 14 cm, and 15 cm, verify that a triangle can be constructed. Calculate its area and compare with an approximate value.
[5 marks]D
Mixed Review
Answer a variety of questions to consolidate your understanding of constructing triangles with three sides given.
1.
Construct a triangle with sides 6 cm, 8 cm, and 10 cm. Confirm if it is a right triangle.
[3 marks]2.
Construct a triangle with sides 7 cm, 10 cm, and 14 cm. Is the construction valid? Justify your answer.
[3 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.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet