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## Intro

## Pythagorean Theorem Quiz

## Pythagorean Theorem Quiz Answers

1. Use the Pythagorean Theorem to see if the measurements below can form a right triangle. ***** a = 5 in. b = 12 in. c = 13 in.

**Yes, it is a right triangle.**- No, it is not a right triangle
- There is not enough info.

2. a = 6.4, b = 12, c = 12.2 is this a right triangle?

- yes
**no**

3. a = 2.1, b = 7.2, c = 7.5 is this a right triangle?

- yes
**no**

4. If a triangle has a side a=5 and b=12, what is c?

- 10
- 17
- 169
**13**

5. Which three side lengths form a right triangle?

**5, 12, 13**- 4, 5, 7
- 3, 6, 9
- 1, 3, square root of 11

6. Use the Pythagorean Theorem to see if the measurements below can form a right triangle. **** a= 6 cm, b= 8 cm, c = 10 cm

**Yes, it is a right triangle.**- No, it is not a right triangle
- There is not enough info.

7. What is the length of x?

**5**- 7
- 8
- 25

8. Solve for c

- 33
- 11.2
**11.4**- 13

9. Solve for x

**10**- 11.4
- 13
- 2

10. Find the hypotenuse in the image shown

- 169
**13**- 14.4
- 17

11. Do the segment lengths 9, 12, and 15 form a right triangle?

**Yes**- No
- Maybe
- Pythagoras

12. Do the segment lengths 9, 11 and 15 cm form a right triangle?

- yes
**no**- maybe
- pythagoras

13. Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

**yes**- no
- maybe
- 22

14. The Pythagorean Theorem ONLY works on which triangle?

- obtuse
- scalene
- isosceles
**right**

15. What is the name of the longest side of a right-angled triangle?

- Pythagoras
- Hypotenoose
- Hipotenuse
**Hypotenuse**

16. What kind of triangles does the Pythagorean Theorem work with?

**Right**- Left
- Isosceles
- Equilateral

17. What is the formula for Pythagoras theorem if in a right angles triangle a and b are the short sides and c is the longest side?

- a2 x b2 = c2
- a + b = c
- a2 + a2 = c2
**a2 + b2 = c2**

18. Does an 8, 15, 16 triangle have a Right Angle?

- yes
**no**

19. To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

- 35
**22**- 58
- 75

20. John runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram.What is the length of the diagonal, in yards, that John runs?

**50**- 60
- 70
- 80

21. Does this triangle have a Right Angle?

- No
**Yes**

## Terms and Answers to Learn

the sum of the squares of the other two sides.

d=square root of b+c * b

e=square root of b+c * c