Which all of the following are pythagoras triplet

5, 12, 13

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15, 8, 17

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9, 12, 16

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24, 10, 26

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Solution

The correct options are
A
5, 12, 13

B
15, 8, 17

D
24, 10, 26

$(a) 5^{2} + 12^{2} = 25 + 144 = 169 = 13^{2} (b) 8^{2} + 15^{2} = 64 + 225 = 289 = 17^{2} (c) 9^{2} + 12^{2} = 81 + 144 = 225 \neq 16^{2} Not a pythagoras triplet (d) 10^{2} + 24^{2} = 100 + 576 = 676 = 26^{2}$

a, b, d all 3 are phthogoras triplet.

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Similar questions

Are all of the following triplets are pythagorean?

(8, 15, 17)

(16, 63, 65)

12, 16, 20

Q. Simplify:

(i)(−8) × 9 + (−8) × 7
(ii) 9 × (−13) + 9 × (−7)
(iii) 20 × (−16) + 20 × 14
(iv) (−16) × (−15) + (−16) × (−5)
(v) (−11) × (−15) + (−11) × (−25)
(vi) 10 × (−12) + 5 × (−12)
(vii) (−16) × (−8) + (−4) × (−8)
(viii) (−26) × 72 + (−26) × 28

The marks obtained by 40 students of a class in an examination are given below.
3, 20, 13, 1, 21, 13, 3, 23, 16, 13, 18, 12, 5, 12, 5, 24, 9, 2, 7, 18, 20,3,10, 12, 7, 18, 2, 5, 7, 10, 16, 8, 16, 17, 8, 23, 24, 6, 23, 15.
Present the data in the form of a frequency distribution using equal class size, one such class being 10-15 (15 not included).

Q. Find the median of the following frequency distribution

Class	$4 - 8$	$8 - 12$	$12 - 16$	$16 - 20$	$20 - 24$	$24 - 28$
Frequency	$9$	$16$	$12$	$7$	$15$	$1$

Q. The distance (in km) of

40

engineers from their residence to their place of work were found as follows:

5, 3, 10, 20, 25, 11, 13, 7, 12, 31, 19, 10, 12, 17, 18, 11, 32, 17, 16, 2, 7, 9, 7, 8,

3, 5, 12, 15, 18, 3, 12, 14, 2, 9, 6, 15, 15, 7, 6, 12

How many engineers travelled distance more than

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and less than

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Which all of the following are pythagoras triplet

The correct options are A 5, 12, 13 B 15, 8, 17 D 24, 10, 26 (a)52+122=25+144=169=132(b)82+152=64+225=289=172(c)92+122=81+144=225≠162 Not a pythagoras triplet(d)102+242=100+576=676=262 a, b, d all 3 are phthogoras triplet.