MATH 8

PYTHAGOREAN THEOREM

100

1. What does the Pythagorean theorem state?

   • A) 𝑎²+𝑏²=𝑐²
   • B) 𝑎²−𝑏²=𝑐²
   • C) 𝑎²×𝑏²=𝑐²
   • D) 𝑎+𝑏=𝑐

• A) 𝑎²+𝑏²=𝑐²

200

1. Given a right-angled triangle with hypotenuse 10 and one side length 6, find the length of the other side.

   • A) 7.5
   • B) 8
   • C) 6.5
   • D) 7

• B) 8

300

1. 
   

   • In the formula 𝑎²+𝑏²=𝑐², what do the letters 𝑎, 𝑏, and 𝑐 represent?

     • A) The angles of a triangle
     • B) The sides of any triangle
     • C) The lengths of the sides of a right-angled triangle
     • D) The angles and sides of a right-angled triangle

• C) The lengths of the sides of a right-angled triangle

400

1. Given a right-angled triangle with a hypotenuse of 29 and one leg of length 20, find the length of the other leg.

   • A) 21
   • B) 15
   • C) 19
   • D) 17

• A) 21

500

1. Given a right-angled triangle with a hypotenuse of 30 and one leg of length 24, find the length of the other leg.

   • A) 18
   • B) 16
   • C) 12
   • D) 20

• A) 18

PYTHAGOREAN THEOREM

100

1. 
   

   • In a right-angled triangle, which side is the hypotenuse?

     • A) The side opposite the right angle
     • B) The side adjacent to the right angle
     • C) Any side of the triangle
     • D) The side with the largest value

• A) The side opposite the right angle

200

1. If the length of the hypotenuse is 25 and one leg is 20, what is the length of the other leg?

   • A) 15
   • B) 7
   • C) 20
   • D) 18.75

• A) 15

300

Given a right-angled triangle with hypotenuse 15 and one leg of length 9, find the length of the other leg. 

• A) 12
• B) 8
• C) 6
• D) 11

• A) 12

400

1. Find the hypotenuse of a right-angled triangle with side lengths of 9 and 40.

   • A) 42
   • B) 41
   • C) 39
   • D) 43

• B) 41

500

1. A right-angled triangle has legs of length 15 and 36. What is the length of the hypotenuse?

   • A) 41
   • B) 39
   • C) 44
   • D) 45

• B) 39

PYTHAGOREAN THEOREM

100

1. Find the hypotenuse of a right-angled triangle with side lengths of 3 and 4.

   • A) 5
   • B) 6
   • C) 7
   • D) 9

• A) 5

200

1. A right-angled triangle has legs of length 9 and 12. What is the length of the hypotenuse?

   • A) 15
   • B) 13
   • C) 18
   • D) 14

• A) 15

300

1. If the hypotenuse of a right-angled triangle is 17 and one leg is 15, what is the length of the other leg?

   • A) 8
   • B) 9
   • C) 4
   • D) 5

• A) 8

400

1. Given a right-angled triangle with legs of length 12 and 16, what is the length of the hypotenuse?

   • A) 20
   • B) 15
   • C) 14
   • D) 18

• A) 20

500

1. 
   

   • If a right-angled triangle has side lengths of 5 and 5, what is the length of the hypotenuse?

     • A) 5√2
     • B) 10
     • C) 10√2
     • D) 5√5

• A) 5√2

PYTHAGOREAN THEOREM

100

1. 
   

   • If the hypotenuse of a right-angled triangle is 13 and one leg is 5, what is the length of the other leg?

     • A) 8
     • B) 12
     • C) 9
     • D) 10

• B) 12

200

1. 
   

   • Given a right-angled triangle with a hypotenuse of 17 and one leg of length 8, find the length of the other leg.

     • A) 12
     • B) 15
     • C) 13
     • D) 10

• B) 15

300

1. A right-angled triangle has legs of length 7 and 24. What is the length of the hypotenuse?

   • A) 20
   • B) 21
   • C) 26
   • D) 25

• D) 25

400

1. In a right-angled triangle, if 𝑎²+𝑏²=𝑐², which of the following is true?

   • A) 𝑎 and 𝑏 must be equal
   • B) 𝑎 and 𝑏 must be perpendicular
   • C) 𝑐 must be the longest side
   • D) 𝑎²+𝑏² must be greater than 𝑐²

• C) 𝑐 must be the longest side

500

1. Given a right-angled triangle with legs of length 7 and 24, what is the length of the hypotenuse?

   • A) 25
   • B) 26
   • C) 23
   • D) 27

• A) 25

PYTHAGOREAN THEOREM

100

1. 
   

   • If a right-angled triangle has side lengths of 8 and 15, what is the length of the hypotenuse?

     • A) 16
     • B) 17
     • C) 18
     • D) 19

• B) 17

200

1. If a right-angled triangle has side lengths of 5 and 12, what is the length of the hypotenuse?

   • A) 10
   • B) 11
   • C) 13
   • D) 14

• C) 13

300

1. What is the square of the hypotenuse in a right-angled triangle with legs 6 and 8?

   • A) 100
   • B) 49
   • C) 64
   • D) 144

• A) 100

400

1. Find the length of a leg in a right-angled triangle with a hypotenuse of 10 and another leg of length 6.

   • A) 7
   • B) 8
   • C) 6.5
   • D) 9

• B) 8

500

1. What is the length of the hypotenuse in a right-angled triangle with side lengths of 6 and 8?

   • A) 11
   • B) 9
   • C) 12
   • D) 10

• D) 10