what of the following is NOT a pythagorean triple?A.(3,4,5,)B.(8,15,17)C.(7,24,25)D.(2,2,4)

Question

I need some one to answer this question and explain how they got miss one day of math class and they throw this in your face-.-

Answer 1

There are 16 primitive Pythagorean triples with c ≤ 100:

( 3 , 4 , 5 )	( 5, 12, 13)	( 7, 24, 25)	( 8, 15, 17)
( 9, 40, 41)	(11, 60, 61)	(12, 35, 37)	(13, 84, 85)
(16, 63, 65)	(20, 21, 29)	(28, 45, 53)	(33, 56, 65)
(36, 77, 85)	(39, 80, 89)	(48, 55, 73)	(65, 72, 97)

Additionally these are all the primitive Pythagorean triples with 100 < c ≤ 300:

(20, 99, 101)	(60, 91, 109)	(15, 112, 113)	(44, 117, 125)
(88, 105, 137)	(17, 144, 145)	(24, 143, 145)	(51, 140, 149)
(85, 132, 157)	(119, 120, 169)	(52, 165, 173)	(19, 180, 181)
(57, 176, 185)	(104, 153, 185)	(95, 168, 193)	(28, 195, 197)
(84, 187, 205)	(133, 156, 205)	(21, 220, 221)	(140, 171, 221)
(60, 221, 229)	(105, 208, 233)	(120, 209, 241)	(32, 255, 257)
(23, 264, 265)	(96, 247, 265)	(69, 260, 269)	(115, 252, 277)
(160, 231, 281)	(161, 240, 289)	(68, 285, 293)

 

Answer 2

D. (2, 2, 4) is not a pythagorean triple.

This is because:
sqrt(2^2 + 2^2)
= sqrt(4 + 4)
= sqrt(8)
=/= 4

For a set of numbers (a, b, c), where c is the largest number out of the three, to be a pythagorean triple, sqrt(a^2 + b^2) must be equal to c.

However, for D., this is clearly not the case.

Answer 3

8,15,17is not a pythagorean triple... sorry if im late with the answer but yeah