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The Pythagorean Theorem Assignment
Name:__________________ Class:____________ Date:_____________
Find the length of the missing side in the following examples. Round answers to the nearest tenth, if
necessary. Please do and show all work on a separate piece of loose leaf!
1.

2.
6cm

c

3.

c

5 cm

2m

5m
c
3 cm

12 cm
8cm

4.

5.

2.4 m

c

6.

c

10cm

5.2 m

30m

c

3cm
5m
7.

8.
c
9.
7m

c

50
40m

22cm

15cm
c

What is the length of the hypotenuse, c, of the following right angle triangles? Show all work on a
separate piece of loose leaf!
10.
11.
12.
13.
14.
20.

a=3; b=4; c=?
a=6; b=8; c=?
a = 12 ; b = 5 ; c = ?
a = 9 ; b = 12 ; c = ?
a = 15 ; b = 20 ; c = ?

15.
16.
17.
18.
19.

a = 8 ; b = 10 ; c = ?
a = 15 ; b = 17 ; c = ?
a = 40 ; b = 50 ; c = ?
a=4; b=2; c=?
a = 1.2 ; b = 3.5; c = ?

A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from
the house, how tall is the ladder? Please draw a diagram and show all work.