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Pythagoras Theorem Name:aaaaaaaaaaaaaaaaaaa

Name the hypotenuse in these
right-angled triangles

Evaluate the following

Are these triangles right angled? You must show working

1

A

6

252

18

7

14.72

12 cm

20 cm

8

322

9

65.62

S

F

10

20.82

16 cm

R

11

169

2

12

1 225

V

13

31.36

14

2 025

Yes

No

X

15

123.21

19

12 cm

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Draw the following right-angled
triangles

Apply Pythagoras Theorem for the right-angled triangles below

5 cm

13 cm

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3

ΔBFT with hypotenuse BF

16

V

X

J

Yes

No

4

ΔNHT with hypotenuse TH

VJ2 =

2

+

2

20

17

T

11 cm

19 cm

5

ΔFTR with hypotenuse TR

8 cm

K

A

Yes

No

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Page 2

Find the distance marked ‘x’ correct to 2 decimal places

23

x

25

A ladder of 2.3 m length is leaning against a brick wall. The base of the ladder is 0.8 m away from the wall. How high up does the ladder touch the wall?

21

x

11 cm

5 cm

15 mm

8 mm

2.3 m

22

24

54 cm

42 cm

17 cm

38 cm

x

x

0.8 m

26

On the graph below plot the points A (-3, 2) and B (2, -1).
Create a triangle on the graph and then use Pythagoras
Theorem to find the distance AB. Show all working.

y

2

1

-3

-2

-1

0

1

2

3

x

-1

-2