Question

out of the following which is a Pythagoras triplet?
1) (5,12,14)
2) (3,4,2)
3) (8,5,17)
4) (5,5,2)​

Answer 1

$\huge{\underline{\underline{\bold{\mathtt{\purple{✍A{\pink{N{\green{S{\blue{W{\red{E{\orange{R✍}}}}}}}}}}}}}}}}$$\huge{\rightarrow}$

1 )

14² = 12² + 5²

196 = 144 + 25

196 = 169

Hᴇɴᴄᴇ ɪᴛ ɪs ɴᴏᴛ Pʏᴛʜᴀɢᴏʀᴀs ᴛʀɪᴘʟᴇᴛ

2 )

4² = 3² + 2²

16 = 9 + 4

16 = 13

Hᴇɴᴄᴇ ɪᴛ ɪs ɴᴏᴛ Pʏᴛʜᴀɢᴏʀᴀs ᴛʀɪᴘʟᴇᴛ .

3 )

17² = 8² + 5²

289 = 64 + 25

289 = 89

Hᴇɴᴄᴇ ɪᴛ ɪs ɴᴏᴛ ᴘʏᴛʜᴀɢᴏʀᴜs ᴛʀɪᴘʟᴇᴛ .

4 )

5² = 5² + 2²

25 = 25 + 4

25 = 29

Hᴇɴᴄᴇ ɪᴛ ɪs ɴᴏᴛ ᴀ Pʏᴛʜᴀɢᴏʀᴀs ᴛʀɪᴘʟᴇᴛ .

Nᴏɴᴇ ᴏғ ᴛʜᴇsᴇ ɪs ᴀ Pʏᴛʜᴀɢᴏʀᴀs ᴛʀɪᴘʟᴇᴛ

Answer 2

none of these is a triplet

1) 5^2+12^2=25+144=169=13 not 14

2) 2^2+3^2=4+9=Root 13 not 4

3) 5^2 + 8 ^2 = 25+64 = Root 89 not 17

4) 2 ^ 2 + 5^2 = 25+4 = Root29 not 5