NAME: __________________________________________________ DATE:___________ PER#______
PYTHAGOREAN THEOREM QUIZ
Round all of your answers to the nearest thousandth if necessary.
For the right triangles in #1 - # 5 calculate the missing lengths.
1.
2.
C in.
14 m
3 in.
8m
4 in.
Cm
ANSWER:___________
ANSWER:___________
3.
4.
C ft
3 ft
6m
7 ft
10 m
Bm
ANSWER:___________
ANSWER:___________
5.
12 ft
12 ft
6. The length of one leg of a right triangle is 14
inches. The other leg is 7 inches. How long is the
hypotenuse?
C ft
ANSWER:___________
ANSWER:___________
7. The length of the hypotenuse of a right triangle is
21 centimeters. The length of one of the legs is 9
centimeters. How long is the other leg?
Page # 1 of 2
ANSWER:___________
8. Given three lines with the following lengths, can
they form a right triangle? Provide a proof of your
answer. a = 12, b = 9, c = 15
(Hint: the equation a2 +b2 = c2 is only true for right triangles)
PROOF:
ANSWER:__________
9. Myesha uses a 12 foot board to create a ramp by
resting one end on top of a 3 foot high wall. How
far away from the wall does the ramp reach?
ANSWER:__________
10. Three grey right triangles are placed together
within a rectangle. Their hypotenuses form a fourth
triangle shown in white. Could this fourth triangle
be a right triangle? Provide a proof for your
answer. (please note that the drawing is not to scale)
20
15
14
25
20
5
34
PROOF:
ANSWER: ___________________
Page # 2 of 2
************** PYTHAGOREAN THEOREM QUIZ ******* ANSWER KEY
Calculate the missing lengths. Round your answers to the nearest thousandth if necessary.
1. 5 in.
2. 16.125 m
3. 7.616 ft
4. 8 m
5. 16.971 ft
6. 15.652 in.
7. 18.974 cm
8. Yes; 144 +_ 81 = 225
9. 11.619 ft
10.
Answer: NO
Proof:
52  342  1181
1181  34.366
142  202  596
596  24.413
625  596  1181
Page # 3 of 2