# The Pythagorean Theorem

```The Pythagorean Theorem
Name:__________________ Per:____________ Date:_____________
Find the length of the missing side in the following examples. Leave your answers in exact
square roots. Solve these problems without a calculator. Show work please.
1)
2)
6cm
c
3)
c
5 cm
2m
5m
C
3 cm
12 cm
4)
5)
x
25m
24 m
7)
5m
5m
10m
6)
8cm
x
x
5 cm
20cm
8)
c
c
50
40m
9)
10cm
x
11cm
10) List the most common right triangles (you don’t have to show work):
3 – 4 – ___
5 – 12 - ____
7 – 24 - ___
8 – 15 - ___
11) Write the Pythagorean theorem math equation: __________________
12) Explain the steps of the Pythagorean Theorem with complete sentences using academic language
(or what you think academic language sounds like).
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13) Explain the steps of the Pythagorean Theorem using every day language. (For example, how would
you talk if you were explaining it on a children’s tv show?)
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14) Explain the steps of the Pythagorean Theorem using informal language or texting
language/spelling. (For example, how would you talk if you were hanging out with your friends or
writing a note to them?)
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15) A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of
the suitcase? (Use an exact square root answer.)
```