Pythagorean and Similar Triangle Practice

BAC and ADC are right angles. For each triangle find all the missing segments. Then check (e.g. if you used similar triangles to get your answer, then check it with the Pythagorean theorem, or vice versa). Report your answers as radicals, where needed (radicals in denominators of answers are OK).

1. AB = _____

BC = _____

AC = _____

AD = 12

BD = _____

CD = 16
 
 

2. AB = _____

BC = _____

AC = 3

AD = 2

BD = _____

CD = _____
 
 

3. AB = _____

BC = 13

AC = 5

AD = _____

BD = _____

CD = _____
 
 

4. AB = _____

BC = _____

AC = _____

AD = _____

BD = 6

CD = 2
 
 

5. AB = _____

BC = 9

AC = _____

AD = _____

BD = _____

CD = 3
 
 

6. AB = _____

BC = _____

AC = 

AD = 2

BD = _____

CD = _____
 
 
 
 

7. AB = 

BC = _____

AC = 

AD = _____

BD = _____

CD = _____
 

Answers

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