1. If the longest side of a right-angled triangle is c cm and the other sides are a cm and b cm, Pythagoras’ Theorem states that …….

1. In a right-angled triangle the sides forming the 90° angle are 6 cm and 8 cm. What is the length of the third side?

1. The following sets of numbers represent the lengths of the sides of a triangle. Which is not a right-angled triangle?

1. A triangle has sides of length 4 cm, 5 cm and 6 cm. Which of these statements is not true?

1. The hypotenuse of a right-angled triangle is 26 cm. One of the shorter sides is 10 cm. How long is the third side?

1. A right-angled isosceles triangle has hypotenuse of length 15 cm. What are the angles at either end of the hypotenuse?

1. A rectangle has length 2.4 m and width 0.7 m. How long is its diagonal?

1. The foot of a ladder of length 3.75 m is 1.4 m away from a vertical wall. How high up the wall will the ladder reach (to the nearest 1 cm)?

1. The cross-section of a porch roof is an isosceles triangle with height 0.8 m and base 3.0 m. How long is each sloping roof section?

10. In a triangle, base 25 cm and height 12 cm, the perpendicular from the base to the opposite vertex divides the base in the ratio 3:2. How long are the other two sides (to 1dp)?

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