2 Angles, Included Side: Challenge & Extension

Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A challenging worksheet focused on constructing triangles with two given angles and the included side. Designed to develop procedural mastery and problem-solving skills for GCSE Higher students.

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Full preview • 12 questions

2 Angles, Included Side: Challenge & Extension

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions carefully. Show all working in the grid spaces provided.
1.
Construct a triangle where one angle is 50°, the second angle is 70°, and the included side between these angles is 8 cm. Use the grid to draw and verify the triangle.
[4 marks]
2.
Given two angles of 45° and 60°, and the included side measuring 10 cm, construct the triangle. Label all sides and angles clearly.
[4 marks]
3.
Construct a triangle with angles of 30° and 80°, and an included side of length 6 cm. Show your construction steps.
[4 marks]
4.
Plot the graph of y=2x for x values from 0 to 5. Use the grid to assist your drawing.
[2 marks]
5.
Construct a triangle where two angles are 65° and 85°, and the included side is 9 cm. Label the angles and sides accurately.
[4 marks]
6.
Construct a triangle with angles of 40° and 75°, and an included side of 7 cm. Use the grid for accuracy and label your construction.
[4 marks]
7.
A triangle has two angles measuring 55° and 70°, with the included side of 12 cm. Construct this triangle and determine the third angle.
[3 marks]
8.
Identify and correct the mistake in the following construction: a triangle with angles 40° and 60°, and side 8 cm, which does not satisfy the ASA criteria.
[3 marks]
9.
Construct a triangle with two angles of 35° and 65°, and an included side of 5 cm. Then, verify the triangle's accuracy using protractor and ruler.
[4 marks]
10.
Construct a triangle with angles 20° and 80°, and the included side of 4 cm. Afterwards, explain why the sum of the angles confirms the triangle's validity.
[3 marks]
11.
A triangle is constructed with angles 75° and 85°, and side length 10 cm. What is the measure of the third angle? Construct the triangle and justify your answer.
[4 marks]
12.
Using the grid, construct a triangle with angles of 25° and 55°, and an included side of 6 cm. Reflect on the key steps involved in your construction.
[4 marks]

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Details

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