Primary School · Mathematics

Triangles (Right-angled, Isosceles, Equilateral, Isosceles right-angled and Unequal triangles): Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Triangles (Right-angled, Isosceles, Equilateral, Isosceles right-angled and Unequal triangles).

10 questions23 marksFree, no account

Question 1

1 mark

A triangle has angles measuring \(90^\circ\), \(45^\circ\), and \(45^\circ\). What is the specific name for this triangle?

Question 2

1 mark

Triangle ABC has two sides that are both 10 cm long, and the angle between them is \(90^\circ\). What is the best name for this triangle?

Question 3

1 mark

Triangle PQR is an isosceles right-angled triangle. If the side opposite the right angle is the longest side, and the other two sides are both \(12\) cm, what is the area of this triangle?

Question 4

1 mark

Which of the following descriptions accurately defines an unequal triangle (scalene triangle)?

Question 5

1 mark

Triangle ABC has side lengths \( 8 \text{ cm} \), \( 15 \text{ cm} \), and \( 17 \text{ cm} \). One of its angles is \( 90^\circ \). What is the specific type of this triangle?

Question 6

2 marks

A triangle has side lengths of 9 cm, 12 cm, and 15 cm. Since all three sides have different lengths, what is the specific name for this triangle based on its sides?

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Question 7

3 marks

An isosceles right-angled triangle has one angle of \( 90^\circ \). What is the size of each of its other two angles?

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Question 8

5 marks

Can a triangle be formed with side lengths of \( 7 \) cm, \( 10 \) cm, and \( 18 \) cm? Explain your answer.

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Question 9

3 marks

Consider the following descriptions of three different triangles:
Triangle P: All three sides are 15 cm long.
Triangle Q: Two sides are 10 cm long, and the angle between them is 90 degrees.
Triangle R: Two sides are 12 cm long, and the third side is 8 cm long.

Identify the specific names for Triangle P, Triangle Q, and Triangle R.

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Question 10

5 marks

A student is given three sticks of lengths 8 cm, 8 cm, and 16 cm.

(a) Can these sticks be used to form a triangle? Explain using the property of triangle side lengths.
(b) If the student replaces the 16 cm stick with a 12 cm stick, what is the specific name of the triangle formed?
(c) If the student replaces the 16 cm stick with an 8 cm stick, what is the specific name of the triangle formed?

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