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Pythagoras Practice

Total questions: 25

Worksheet time: 47mins

Name
Class
Date
1.
Which side is X?
a)
Adjacent
b)
Hypotenuse
2.
Which side is X?
a)
Adjacent
b)
Hypotenuse
3.
Which side is X?
a)
Adjacent
b)
Hypotenuse
4.
Which side is X?
a)
Adjacent
b)
Hypotenuse
5.
Which side is X?
a)
Adjacent
b)
Hypotenuse
6.
Which side is X?
a)
Adjacent
b)
Hypotenuse
7.

What do you do to calculate X2X^2  

(a)  

8.

What is the formula for finding the length of the hypotenuse in words?

(a)  

9.

What is the formula for finding the length of one of the adjacent sides?

(a)  

10.

For the triangle shown what is the length of X? (show your working)

(a)  

11.

For the triangle shown what is the length of X? (show your working)

(a)  

12.

For the triangle shown what is the length of X? (show your working)

(a)  

13.

For the triangle shown what is the length of X? (show your working)

(a)  

14.

For the triangle shown what is the length of X? (show your working)

(a)  

15.

For the triangle shown what is the length of X? (show your working)

(a)  

16.

For the triangle shown what is the length of X? (show your working)

(a)  

17.

For the triangle shown what is the length of X? (show your working)

(a)  

18.

For the triangle shown what is the length of X? (show your working)

(a)  

19.

For the triangle shown what is the length of X? (show your working)

(a)  

20.

Use Pythagoras theorem to calculate the height of this triangle.

(a)  

21.

Use Pythagoras theorem to calculate the height of this triangle.

(a)  

22.

Use Pythagoras theorem to calculate the height of this triangle.

(a)  

23.

You have a job of building a tower to hold an antenna on a bush property. The tower needs to be 12 metres tall and its base needs to be three metres wide diagonally. The design specifies that the tubes for each leg must be continuous lengths of pipe (no joins). How long does each pipe need to be in centimetres?

(a)  

24.
What is the formula for finding the length of the hypotenuse?
a)

a2 + b2 = c2a^2\ +\ b^2\ =\ c^2  

b)

a×2+b×2=c×2a\times2+b\times2=c\times2  

c)

c2a2=b2c^2-a^2=b^2  

d)

(ca)2=b2\left(c-a\right)^2=b^2  

25.

What is the formula for finding the length of an adjacent side?

a)

a2 + b2 = c2a^2\ +\ b^2\ =\ c^2  

b)

a×2+b×2=c×2a\times2+b\times2=c\times2  

c)

c2a2=b2c^2-a^2=b^2  

d)

(ca)2=b2\left(c-a\right)^2=b^2