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CH

AP

T ER

6

Pythagoras’ Theorem

1. Name the hypotenuse of the following right-angled triangles. b c

a

a

b

2. Write down the relationship between the sides of the following triangle. U V

TV2 =  _______________ T

SV2 =  _______________

W S

3. By using Pythagoras teorem, find the value of x. Q

6 cm R

12 cm

S

 x cm 13 cm P

4. Find the value of x. 3x cm

8 cm

17 cm

5. Find the values of x and y in each of the following figures. (a) (b) P

Q

12 cm

15 cm

P 2 cm S

R x cm S y cm

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10

13 cm

30

y cm

6 cm

cm

Q

x cm

T

7 cm

R


6.

P

Q

13 c

15 cm

m S

T

9 cm

R

The diagram shows a rectangle. Find the area of the shaded region. 7. Determine whether the following triangle is a right-angled triangle. R

 41 cm Q

 5 cm P

6 cm

8. Determine whether the following triangle is an obtuse-angled or acute-angled triangle. P 10 cm

9 cm Q

13 cm

R

9. Mr Samy tries to dig a rectangular pool of 8 m by 15 m. When he measures the diagonal, it is 18 m. Is the pool rectangular in shape?

31

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