Question

Phtogaran triplet of 16 and 18

Answer 1

(1). If we take m2 + 1 = 16, then m2 = 15

The value of m will not be an integer.

If we take m2 − 1= 16, then m2 = 17

Again the value of m is not an integer.

Let 2m = 16

m = 8

Thus, m2 − 1 = 64 − 1 = 63 and m2 + 1 = 64 + 1 = 65

Therefore, the Pythagorean triplet is 16, 63, and 65.

(2). If we take m2 + 1 = 18,

m2 = 17

The value of m will not be an integer.

If we take m2 − 1 = 18, then m2 = 19

Again the value of m is not an integer.

Let 2m =18

m = 9

Thus, m2 − 1 = 81 − 1 = 80 and m2 + 1 = 81 + 1 = 82

Therefore, the Pythagorean triplet is 18, 80, and 82.