2 Sides, Included Angle: Fluency & Practice
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on constructing triangles using two given sides and the included angle (SAS). It develops procedural mastery and problem-solving skills for GCSE Foundation students.
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Full preview • 11 questions
2 Sides, Included Angle: Fluency & Practice
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct a triangle with sides 5 cm and 7 cm, and included angle 60°. Use the grid to draw accurately.
[3 marks]2.
Calculate the length of the third side of a triangle with sides 6 cm and 8 cm, and included angle 45°.
[2 marks]3.
Construct a triangle where two sides are 4 cm and 9 cm, with an included angle of 120°. Draw it accurately on the grid.
[3 marks]4.
In a triangle with sides 7 cm and 10 cm, the included angle is 30°. Find the third side length.
[2 marks]5.
Construct a triangle with sides 3 cm and 5 cm, and included angle 90°. Confirm the construction is correct.
[3 marks]6.
A triangle has sides 8 cm and 6 cm, with an included angle of 75°. Calculate the third side length.
[2 marks]7.
Construct a triangle with sides 5 cm and 9 cm, and included angle 45°. Show your construction steps clearly.
[3 marks]8.
From the previous question, verify whether the third side is longer or shorter than 10 cm.
[2 marks]9.
A real-world scenario: A surveyor needs to construct a triangular plot with two sides measuring 20 m and 25 m, and the included angle is 100°. Draw and label the plot accurately.
[4 marks]10.
Identify and correct the mistake in this attempted construction: The included angle was marked as 90°, but the sides were measured as 4 cm and 7 cm without proper construction steps.
[4 marks]11.
Challenge: Given sides 10 cm and 14 cm and an included angle of 60°, find all possible lengths of the third side, considering both possible configurations.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet