Pythagorean Theorem Problems Worksheet Page 5
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6Worksheet: Pythagorean Theorem Problems
Answer Section
MULTIPLE CHOICE
1. ANS: A
PTS: 1
REF: Knowledge and Understanding
OBJ: 8.3 - The Pythagorean Theorem
2. ANS: B
PTS: 1
REF: Application
OBJ: 8.3 - The Pythagorean Theorem
3. ANS: C
PTS: 1
REF: Knowledge and Understanding
OBJ: 8.3 - The Pythagorean Theorem
4. ANS: B
PTS: 1
REF: Knowledge and Understanding
OBJ: 8.3 - The Pythagorean Theorem
5. ANS: D
PTS: 1
REF: Application
OBJ: 8.3 - The Pythagorean Theorem
6. ANS: D
PTS: 1
REF: Thinking
OBJ: 8.3 - The Pythagorean Theorem
7. ANS: C
PTS: 1
REF: Knowledge and Understanding
OBJ: 8.3 - The Pythagorean Theorem
8. ANS: C
PTS: 1
REF: Application
OBJ: 8.3 - The Pythagorean Theorem
9. ANS: B
PTS: 1
REF: Knowledge and Understanding
OBJ: 8.3 - The Pythagorean Theorem
10. ANS: A
PTS: 1
REF: Thinking
OBJ: 8.3 - The Pythagorean Theorem
SHORT ANSWER
11. ANS:
22 cm; I used the Pythagorean Theorem,
and substituted 25 for b and 33 for c. I squared both
numbers and subtracted 625 from both sides to get 464. I took the square root of 464 to get a = 21.54066. I
rounded to 22 cm.
PTS: 1
REF: Communication
OBJ: 8.3 - The Pythagorean Theorem
12. ANS:
53 km
PTS: 1
REF: Knowledge and Understanding
OBJ: 8.3 - The Pythagorean Theorem
13. ANS:
96 cm
PTS: 1
REF: Thinking
OBJ: 8.3 - The Pythagorean Theorem
14. ANS:
, side length = 21.05 cm
I saw that the triangle adjacent to the square was a right triangle so I used the Pythagorean Theorem,
to find the smaller leg of the triangle, which also is a side of the square. I substituted 84.33 for c
and 81.66 for b. I solved for a to get the side length. I squared the side length to get the area of the square.
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