10 questions🇬🇧English
📏 Pythagoras' Theorem – Year 9
Maths · Year 9 (KS3) — practise finding missing sides of right-angled triangles with Pythagoras' theorem
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Questions
In a right-angled triangle, which side is the hypotenuse?
The side opposite the right angle
The side opposite the smallest angle
The side next to the right angle
The shortest side of the triangle
20s
If c is the hypotenuse and a and b are the shorter sides, which equation is Pythagoras' theorem?
a² + b² = c²
a² − b² = c²
a² + c² = b²
a + b = c
20s
A right-angled triangle has shorter sides of 3 cm and 4 cm. How long is the hypotenuse?
25 cm
5 cm
7 cm
6 cm
20s
A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. How long is the other side?
8 cm
16 cm
4 cm
11.7 cm
30s
3, 4, 5 is a Pythagorean triple. Which of these is also a Pythagorean triple?
6, 8, 12
9, 12, 16
4, 5, 6
15, 20, 25
30s
A right-angled triangle has shorter sides of 4 cm and 7 cm. What is the hypotenuse to 1 decimal place?
11.0 cm
8.1 cm
5.7 cm
9.1 cm
30s
A 2.5 m ladder leans against a wall with its foot 0.7 m from the wall. How high up the wall does it reach?
2.6 m
3.2 m
1.8 m
2.4 m
60s
A rectangular field is 20 m long and 21 m wide. How long is its diagonal?
31 m
29 m
41 m
27 m
60s
Which triangle, with sides in cm, is right-angled?
10, 24, 25
12, 16, 21
7, 8, 11
9, 40, 41
30s
What is the straight-line distance between the points (−2, 1) and (4, 9)?
12 units
14 units
10 units
8.2 units
60s