2 Angles, Included Side: Mixed Review

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A mixed review worksheet on constructing triangles using two angles and the included side. Suitable for GCSE Foundation students to practice and understand the ASA construction method.

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Full preview • 11 questions

2 Angles, Included Side: Mixed Review

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working clearly in the grid spaces provided.
1.
Construct a triangle where one angle measures 50°, the other angle measures 60°, and the included side between them is 6 cm. Use the grid to draw accurately.
[3 marks]
2.
Calculate the third angle of a triangle if two angles are 45° and 70°.
[2 marks]
3.
Construct a triangle with angles measuring 40° and 80°, and an included side of 5 cm. Show all steps.
[3 marks]
4.
A triangle has an included side of 8 cm and angles of 55° and 75°. What is the third angle?
[2 marks]
5.
Construct a triangle with an included side of 7 cm, one angle of 30°, and the other of 60°. Use the grid to draw accurately.
[3 marks]
6.
Explain why the sum of angles in a triangle is 180°, using the construction method involving two angles and the included side.
[4 marks]
7.
A triangle has an included side of 10 cm, with angles of 65° and 80°. Construct the triangle and verify the side length.
[4 marks]
8.
A triangle is constructed with two given angles and the included side. If a student mistakenly measures the angles as 45° and 85°, what is the error and how can it be corrected?
[4 marks]
9.
Using the grid, construct a triangle with two angles measuring 35° and 55°, and the included side as 4 cm. Show your construction steps.
[4 marks]
10.
The angles of a triangle are 60° and 70°. If the included side between these angles is 9 cm, construct the triangle and find the third angle.
[5 marks]
11.
Challenge: Construct a triangle with an included side of 6 cm, one angle of 80°, and the other angle such that the triangle is scalene. Show all steps.
[5 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet