Write a Pytagorean triplet whose one member is.
(i) 6 (ii) 14 (iii) 16 (iv) 18
(i) Let 2n = 6 ∴ n = 3
Now, n2 -1 = 32 - 1 = 8
and n2 +1 = 32 + 1 = 10
Thus the required Pythagorean triplet is 6,8,10.
(ii) Let 2n = 14 ∴ n = 7
Now, n2 -1 = 72 - 1 = 48
and n2 +1 = 72 + 1 = 50
Thus the required Pythagorean triplet is 14,48,50.
(iii) Let 2n = 16 ∴ n = 8
Now, n2 -1 = 82 - 1 = 63
and n2 +1 = 82 + 1 = 65
∴ The required Pythagorean triplet is 16,63,65.
(iv) Let 2n = 18 ∴ n = 9
Now, n2 -1 = 92 - 1 = 80
and n2 +1 = 92 + 1 = 82
∴ The required Pythagorean triplet is 18,80,82.
A car was purchased for Rs 2,10,000. After 2 years the value of the car depreciated 5%. Find the value of the car after one year.
(i) 112 = 121. What is the square root of 121?
(ii) 142 = 196. What is the square root of 196?