Free Printable Pythagoras theorem

1.

Calculate

a)

4

b)

8

c)

7.6

d)

8.6

2.

Identify the hypotenuse.

a)

x

b)

z

c)

w

3.

Find x.

a)

35

b)

20

c)

8

d)

12

4.

Find the missing side of this right angled triangle...

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

5.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

$x^2+y^2=z^2$

b)

$x^2+z^2=y^2$

c)

$y^2+z^2=x^2$

d)

$x+z=y$

6.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

7.

The perimeter of triangle ABC above is....

a)

$34\ cm$

b)

$36\ cm$

c)

$38\ cm$

d)

$40\ cm$

8.

The length of line BD is....

a)

$10\ cm$

b)

$11\ cm$

c)

$12\ cm$

d)

$13\ cm$

9.

The area of triangle ABC is....

a)

$80\ cm^2$

b)

$84\ cm^2$

c)

$90\ cm^2$

d)

$100\ cm^2$

10.

Based the picture above!
Area of trapezium PQRS is....

a)

$180\ cm^2$

b)

$200\ cm^2$

c)

$300\ cm^2$

d)

$360\ cm^2$

11.

What is the name of the longest side of a right-angled triangle?

a)

Pythagoras

b)

Hypotenoose

c)

Hipotenuse

d)

Hypotenuse

12.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

13.

What is the formula for Pythagoras theorem if in a right angles triangle a and b are the short sides and c is the longest side?

a)

a² x b² = c²

b)

a + b = c

c)

a² + a² = c²

d)

a² + b² = c²

14.

Find the hypotenuse in the image shown.

a)

13

b)

10.5

c)

17

d)

19

15.

Determine the length of the missing side.

a)

7

b)

17

c)

27

d)

37

16.

Find the missing side.

a)

61

b)

51

c)

$\sqrt{61}$

d)

$\sqrt{51}$

17.

Find the value of p.

a)

11

b)

13

c)

15

d)

16

18.

Find value x. Give answer to two decimal places

a)

20

b)

20.11

c)

20.12

d)

20.13

19.

Find value x. Give answer to two decimal places

a)

16

b)

15.92

c)

15.9

d)

15.91

Pythagoras theorem

Total questions: 19

Worksheet time: 19mins

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