Math · Geometry
The Pythagorean Theorem
Find missing sides of right triangles, test for right triangles and find distances on the coordinate plane.
- 🎓 Grade 8
- 🧮 Math
- 📐 8.G.B.7
- ❓ 22 questions
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A right triangle has hypotenuse 15 and one leg 9. How long is the other leg?
- A 24
- B 12
- C 6
- D 144
15² − 9² = 144 = 12²
A right triangle has hypotenuse 20 and one leg 12. How long is the other leg?
- A 16
- B 8
- C 256
- D 32
20² − 12² = 256 = 16²
In a right triangle, which side is always the longest?
- A the longer leg
- B the base
- C the shorter leg
- D the hypotenuse
What is the distance between (−2, −1) and (4, 7)?
- A 10
- B 100
- C 14
- D √14
Legs 6 and 8, so the distance is 10.
A right triangle has legs 5 and 12. How long is the hypotenuse?
- A 17
- B 169
- C 13
- D 30
5² + 12² = 169 = 13²
A right triangle has legs 7 and 24. How long is the hypotenuse?
- A 31
- B 25
- C 84
- D 625
7² + 24² = 625 = 25²
What is the distance between (1, 2) and (4, 6)?
- A 5
- B √7
- C 25
- D 7
Legs 3 and 4, so the distance is 5.
A TV screen is 24 inches wide and 18 inches tall. How long is the diagonal?
- A 15.9 inches
- B 36 inches
- C 42 inches
- D 30 inches
24² + 18² = 900 = 30²
A right triangle has legs 6 and 8. How long is the hypotenuse?
- A 14
- B 100
- C 10
- D 9
6² + 8² = 100 = 10²
A right triangle has legs 3 and 4. How long is the hypotenuse?
- A 6
- B 7
- C 25
- D 5
3² + 4² = 25 = 5²
Is a triangle with sides 4, 5 and 6 a right triangle?
- A Yes, because the numbers are in a row
- B No, because 16 + 25 ≠ 36
- C Yes, because 4 + 5 > 6
- D No, because 4 + 5 ≠ 6
A 13-foot ladder leans on a wall with its base 5 feet from the wall. How high does it reach?
- A 14 feet
- B 12 feet
- C 18 feet
- D 8 feet
13² − 5² = 144
A right triangle has hypotenuse 29 and one leg 20. How long is the other leg?
- A 49
- B 9
- C 21
- D 441
29² − 20² = 441 = 21²
A right triangle has hypotenuse 17 and one leg 8. How long is the other leg?
- A 25
- B 9
- C 225
- D 15
17² − 8² = 225 = 15²
A right triangle has legs 8 and 15. How long is the hypotenuse?
- A 289
- B 17
- C 16
- D 23
8² + 15² = 289 = 17²
Is a triangle with sides 6, 8 and 10 a right triangle?
- A Yes, because 36 + 64 = 100
- B Yes, because 6 + 8 > 10
- C No, because 10 is even
- D No, because 6 + 8 ≠ 10
A right triangle has legs 2 and 5. How long is the hypotenuse?
- A √29
- B 7
- C 29
- D √21
Ava walks 9 blocks east and 12 blocks north. How far is she from the start in a straight line?
- A 15 blocks
- B 21 blocks
- C 225 blocks
- D 3 blocks
A right triangle has hypotenuse 25 and one leg 7. How long is the other leg?
- A 32
- B 576
- C 18
- D 24
25² − 7² = 576 = 24²
A right triangle has hypotenuse 13 and one leg 5. How long is the other leg?
- A 18
- B 8
- C 12
- D 144
13² − 5² = 144 = 12²
A right triangle has legs 9 and 12. How long is the hypotenuse?
- A 13
- B 225
- C 21
- D 15
9² + 12² = 225 = 15²
A right triangle has legs 1 and 1. How long is the hypotenuse?
- A 2
- B √2
- C 1
- D √1
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