Question

identify the pythagorean triplets - a) 3,4,5 b)6 ,7,8 c) 8,15,17 d) 12,35,37

Answer 1

Answer:

a) 3,4,5

c)8,15,17

d)12,35,37

Step-by-step explanation:

To identify the pythagorean triplets -

a) 3,4,5

b)6 ,7,8

c) 8,15,17

d) 12,35,37

Sum of squares of two should be equal to square of third one.

a) 3,4,5: is a pythagorean triplets

${5}^{2} = {3}^{2} + {4}^{2} \\ \\ 25 = 9 + 16 \\ \\ 25 = 25$

b)6,7,8: not a pythagorean triplets

${8}^{2} = {6}^{2} + {7}^{2} \\ \\ 64 = 36 + 49 \\ \\ 64 \neq85$

c) 8,15,17:is a pythagorean triplets

$\\ \\ {(17)}^{2} = {8}^{2} + {(15)}^{2} \\ \\ 289 = 64 + 225 \\ \\ 289 = 289$

d)12,35,37:is a pythagorean triplets

$( {37)}^{2} = ( {12)}^{2} + ( {35)}^{2} \\ \\ 1369 = 144 + 1225 \\ \\ 1369 = 1369$

Hope it helps you.