Pythagoras' theorem

Question 1 of 10

6, 8 and 10 form a Pythagorean triple.

Question 2 of 10

A cyclist rides 10 km due east and then 24 km due north. (a) Draw a sketch of the journey. (b) Use Pythagoras' theorem to find how far she is from her starting point. (c) If she rode back in a straight line at 15 km/h, how long would it take, in hours and minutes?

Question 3 of 10

In a right-angled triangle, the longest side is the

Question 4 of 10

The two shorter sides of a right-angled triangle are 15 cm and 36 cm. Find the hypotenuse.

Question 5 of 10

The hypotenuse of a right-angled triangle is 58 cm and one side is 40 cm. Find the other side.

Question 6 of 10

The two shorter sides of a right-angled triangle are 5 cm and 12 cm. Find the hypotenuse.

Question 7 of 10

A rectangle is 9 m by 12 m. The length of its diagonal is ___ m.

Question 8 of 10

A cyclist rides 30 km due east and then 40 km due north. (a) Draw a sketch of the journey. (b) Use Pythagoras' theorem to find how far she is from her starting point. (c) If she rode back in a straight line at 15 km/h, how long would it take, in hours and minutes?

Question 9 of 10

Pythagoras' theorem applies to

Question 10 of 10

The hypotenuse of a right-angled triangle is 51 cm and one side is 24 cm. Find the other side.