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Pythagoras' Theorem

Total questions: 17

Worksheet time: 25mins

Name
Class
Date
1.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
2.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
3.
Identify the hypotenuse.
a)
x
b)
z
c)
w
4.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
5.
solve for c
a)
7
b)
9
c)
4
d)
13
6.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
7.
Find x.
a)
35
b)
20
c)
8
d)
12
8.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

9.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

a)

2 cm

b)

8 m

c)

2 m

d)

5 m

10.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

Yes

b)

No

11.
a)
A
b)
B
c)
C
d)
D
12.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

None

13.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

14.
a)

I only

b)

II only

c)

III only

d)

None of the above

15.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
16.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
17.
a)

7.5 cm

b)

9 cm

c)

21 cm

d)

27 cm