Live Education Quiz

9th mathematics Chapter15 Pythagoras Theorem

Sr #QuestionsABCD
1

If the legs of a right triangle are 28 and 45, what is the length of the hypotenuse?

53 54 55 56
2

If the legs of a right-angled triangle are 3 and 4, what is the length of the hypotenuse?

5 6 7 8
3

In a right triangle, if one leg is 8 and the hypotenuse is 10, what is the length of the other leg?

4 6 7 9
4

What is the Pythagorean triple for which the hypotenuse is 50?

7, 24, 25 9, 40, 41 15, 20, 25 25, 30, 35
5

What is the Pythagorean triple for which the hypotenuse is 26?

7, 24, 25 8, 15, 17 10, 24, 26 12, 16, 20
6

What is the Pythagorean triple for which the hypotenuse is 65?

15, 20, 25 25, 30, 35 33, 44, 55 40, 42, 65
7

If the legs of a right triangle are both integers, what can be said about the length of the hypotenuse?

It must be an integer. It must be a prime number. It can be any real number. It must be irrational.
8

If the hypotenuse of a right-angled triangle is 18 and one leg is 8, what is the length of the other leg?

10 12 14 16
9

If the hypotenuse of a right triangle is 30 and one leg is 18, what is the length of the other leg?

24 26 28 32
10

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

.8 9 10 12
11

In a right triangle, if the legs are equal, what is the relationship between the leg length and the hypotenuse?

a+b=c a×b=c 2 a 2 +b 2 =c 2 2 a 2 ×b 2 =c 2
12

If the hypotenuse of a right-angled triangle is 10 and one leg is 6, what is the length of the other leg?

8 9 7 5
13

If the legs of a right triangle are 20 and 21, what is the length of the hypotenuse?

29 30 31 32
14

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

Shortest side Longest side Opposite side Adjacent side
15

What is the Pythagorean triple for which the hypotenuse is 34?

5, 12, 13 6, 8, 10 15, 20, 25 16, 30, 34
16

What is the relationship between the sides of a right triangle for which the Pythagorean Theorem holds true?

a+b=c a×b=c a 2 +b 2 =c 2 2 a 2 ×b 2 =c 2
17

What is the Pythagorean Theorem?

a 2 +b 2 =c 2 c 2 =a 2 −b 2 a+b=c a 2 ×b 2 =c 2
18

What is the Pythagorean triple for which the hypotenuse is 40?

9, 40, 41 12, 16, 20 18, 24, 30 20, 21, 29
19

What is the Pythagorean triple for which the hypotenuse is 58?

7, 24, 25 9, 40, 41 15, 20, 25 29, 42, 58
20

Which of the following triangles satisfies the Pythagorean Theorem?

6, 8, 10 5, 12, 13 3, 4, 5 7, 24, 25
21

If the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

13 15 17 20
22

If the legs of a right triangle are 7 and 24, what is the length of the hypotenuse?

25 26 28 30
23

In a right triangle, if one leg is 15 and the hypotenuse is 17, what is the length of the other leg?

6 8 10 12
24

In a right triangle, if one leg is 9 and the hypotenuse is 15, what is the length of the other leg?

6 12 8 18
25

In a right-angled triangle, if one leg is 10 and the hypotenuse is 26, what is the length of the other leg?

12 14 16 18