Maths I

Measure and Shape

Pythagoras - Test Bite

1.

Select the equation which shows pythagoras' Theorem for this triangle

A right angled triangle. The hypotenuse is labelled r, the short bottom edge is p, and the taller vertical edge is m.

2.

Select the equation which shows pythagoras' Theorem for this triangle

A right angled triangle. The hypotenuse is labelled m, the short edge is k, and the longer edge is l.

3.

Select the equation which shows pythagoras' Theorem for this triangle

A right angled triangle. The hypotenuse is labelled x, the short edge is t and the longer edge is s.

4.

Calculate the length of the hypotenuse. Give your answer to 2 decimal places.

A right angled triangle. The hypotenuse is labelled s, the short edge is 12, and the longer edge is 17.

5.

Calculate the length of the hypotenuse. Give your answer to 2 decimal places.

A right angled triangle. The hypotenuse is labelled t, the short edge is 5.9 and the longer edge is 7.1.

6.

Calculate the length of the hypotenuse. Give your answer to 2 decimal places.

Right angled triangle. The hypotenuse is labelled r, the shortest edge is labelled 81 and the longer one is 71.

7.

Calculate x for this triangle. Give your answer to 2 decimal places.

A right angled triangle. The hypotenuse is labelled 14, the shortest edge is x, and the middle edge is 9.

8.

Calculate x for this triangle. Give your answer to 2 decimal places.

A right angled triangle. The hypotenuse is labelled 9.3, the shortest edge is 4.6 and the medium edge is x.

9.

Calculate x for this triangle. Give your answer to 2 decimal places.

A right angled triangle. The hypotenuse is labelled 28, the shortest edge is 16, and the medium edge is x.

10.

A 5 metre ladder is positioned 3.2 metres from a building, as shown in the diagram. A window is 3.9 metres up the wall.

A right angled triangle. The hypotenuse is depicted as a ladder labelled as 5 metres long. The vertical edge is a wall, labelled x metres. The distance between the bottom of the wall and bottom of the ladder is 3.2 metres.

Will the ladder reach the window?

What height will the ladder reach? Give your answer to 2 decimal places.m

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