Welcome Quiz 7 - Pythagoras theorem

Which of the following are not the lengths of sides of a right-angled triangles?

• 3 cm, 4 cm, 5 cm

• 6 cm, 8 cm, 10 cm

• 8 cm, 15 cm, 17 cm

• 9 cm, 12 cm, 18 cm

In a computer catalog, a computer monitor is listed as being 27 cm. This distance is the diagonal distance across the screen. If the screen measures 15 cm in height, what is the actual width of the screen to the nearest inch?

• 22 cm

• 23 cm

• 24 cm

• 25 cm

If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow.?

• 9 feet

• 6 feet

• 6.7 feet

• 9.7 feet

What is the length of the monitor diagonally in two decimal places ?

• 32.1

• 32.10

• 54.75

• 47.2

A ladder 20 m long rests against a vertical wall. If the foot of the ladder is 12 m away from the base of the wall, the height of the point on the wall where the top of the ladder reaches is :

• 8 m

• 10 m

• 16 m

• 32 m

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is :

• 7 m

• 17 m

• 23 m

• 120 m

To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 

• 35
• 22
• 58
• 75

Write Pythagoras' Theorem for each right-angled triangle.