Isosceles: Real-world Applications
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the properties and applications of isosceles triangles through real-world scenarios and problem-solving exercises.
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Full preview • 11 questions
Isosceles: Real-world Applications
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Introduction
Read the key concept below before attempting the questions.
1.
An isosceles triangle has two sides of equal length. The angles opposite these sides are also equal. The key formula states that if two sides are equal, then the angles opposite them are equal, and vice versa.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In an isosceles triangle, the equal sides each measure 8 cm. Find the length of the base if the triangle's height from the apex to the base is 6 cm.
[3 marks]2.
Construct an isosceles triangle with two equal sides of 10 cm each and a base of 12 cm. Mark the vertex where the equal sides meet.
[2 marks]3.
Calculate the measure of the vertex angle in an isosceles triangle where each equal side is 7 cm and the base angles are 50°.
[3 marks]4.
If the two equal sides of an isosceles triangle are each 9 cm, and the base angles are both 40°, find the length of the base.
[3 marks]5.
A triangle has two sides of 5 cm and 5 cm. The vertex angle is 60°. Is the triangle isosceles? Explain your reasoning.
[4 marks]6.
Determine whether the following statement is true or false: In an isosceles triangle, the base angles are always equal.
[1 mark]7.
Construct an isosceles triangle with sides 6 cm, 6 cm, and a base of 8 cm. Measure the vertex angle.
[3 marks]8.
Error Analysis: A student claims that in an isosceles triangle, all three angles are equal. Identify the mistake and correct the statement.
[4 marks]9.
Solve for x: An isosceles triangle has equal sides of length x + 2, and the base is 10 cm. If the vertex angle is 30°, find x.
[4 marks]10.
Challenge: Two isosceles triangles have the same vertex angle. The first has equal sides of 7 cm, and the second has equal sides of 9 cm. Which triangle has a larger base? Justify your answer.
[5 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet