Pythagoras Theorem

PYTHAGORAS THEOREM

Problem solving involving Pythagoras Theorem

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

• 32.1

• 32.10

• 54.75

• 47.2

Multiple Choice

Find the value of the missing side...

• 5.4cm

• 5.5cm

• 11cm

• 11.1cm

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

Which of the following is a right-angled

triangle?

Multiple Choice

• 32

• 36

• 48

• 72

Multiple Choice

• 5

• 6

• 10

• 11

Multiple Choice

Identify the hypotenuse.

• x

• z

• w

Multiple Choice

What is the formula used to solve for the hypotenuse?

• a²+b²=c²

• a+b=c

• a²-b²=c²

• c-a=c

Multiple Choice

The iPad is measured by the screen's diagonal length.

• 9.2 in

• 11 in

• 13 in

• 9.6 in

Multiple Choice

Write Pythagoras' Theorem for each right-angled triangle.

• $LK^2=LJ^2+JK^2$

• $LJ^2=JK^2+LK^2$

• $JK^2=JL^2+LK^2$

Multiple Choice

What is the side from point A to point B called?

• Opposite

• Adjacent

• Hypotenuse

Multiple Choice

An orienteering course is set out as follows:

From the start travel 6 Km due south, then 4 Km due east and then return to the start.

Find:

a) the distance of the return (last) leg

b) the total distance you would run if you completed the whole course from start to finish.

• a) 5.21

  b) 17.21

• a) 7.21

  b) 17.21

• a) 9.21

  b) 17.21

• a) 7.21

  b) 19.21

Multiple Choice

Find x.

• 35

• 20

• 8

• 12

Multiple Choice

Do these three lengths form a right, acute or obtuse triangle? 20 ft, 21 ft, and 27 ft

• Right

• Acute

• Obtuse