Pythagoras' theorem

Question 1 of 10

The diagonal of a 3 m by 4 m rectangle is 5 m.

Question 2 of 10

A cyclist rides 15 km due east and then 20 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

Which triangle with sides in cm is NOT right-angled?

Question 4 of 10

A cyclist rides 9 km due east and then 12 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 5 of 10

Pythagoras' theorem works for every triangle.

Question 6 of 10

The hypotenuse is always the shortest side.

Question 7 of 10

If a² + b² = c² for the sides of a triangle, then it has a right angle.

Question 8 of 10

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

Question 9 of 10

In a right triangle with legs 1 and 2, the hypotenuse is 3.

Question 10 of 10

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