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Pythagoras' Theorem

Year 9 · Measurement and Geometry · 20 questions · 30 min

Hard
0 of 20
Question 1

In a right-angled triangle, the two shorter sides are 3 cm and 4 cm. Find the hypotenuse.

Question 2

In a right triangle, the hypotenuse is 13 m and one side is 5 m. Find the other side.

Question 3

A ladder is 5 m long and leans against a wall. The base is 3 m from the wall. How high up the wall does it reach?

Question 4

Which set of numbers forms a right-angled triangle?

Question 5

Find the distance between points (0, 0) and (3, 4) on a coordinate plane

Question 6

In a right triangle with sides 6 cm and 8 cm, what is the hypotenuse?

Question 7

A square has sides of length 5 cm. What is the length of its diagonal?

Question 8

Find the distance between (1, 2) and (4, 6)

Question 9

A right triangle has hypotenuse 10 cm and one side 6 cm. Find the other side.

Question 10

A right triangle has sides 9 m and 12 m. What is the hypotenuse?

Question 11

In a right triangle, one leg is 7 cm and the hypotenuse is 25 cm. Find the other leg.

Question 12

Find the distance between (0, 0) and (5, 12)

Question 13

A rectangle has length 8 m and width 6 m. What is the length of its diagonal?

Question 14

In a right triangle with hypotenuse 20 cm and one leg 12 cm, find the other leg.

Question 15

A right triangle has sides 5 cm and 12 cm. What is the hypotenuse?

Question 16

Find the distance between (2, 3) and (5, 7)

Question 17

A cube has edges of 3 cm. What is the distance from one corner to the opposite corner?

Question 18

Check if 8, 15, 17 form a Pythagorean triple

Question 19

A roof ladder needs to reach from ground level 4 m away from the wall to a point 8 m up the wall. What length ladder is needed?

Question 20

In a right triangle, both legs are 7 cm. What is the hypotenuse?

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