Question

Write a Pythagorean triplet whose greatest member is 37.​

Answer 1

Answer:

12,35,37

Step-by-step explanation:

Pythagoras triplets are in the form 2m,m^2+1,m^2-1

since greatest number is 37,

m^2+1 = 37

m^2 = 37-1

m^2 = 36

m = √36

m = 6

therefore, 2m = 2×6 = 12

m^2 - 1 = 6^2 -1 = 36-1 = 35

hence triplets are 12,35,37

Verification:

12^2+35^2 = 37^2

144+1225 = 1369

hence verified