Question

3. Out of the following which is a Pythagorean triplet?
a) (5,12,14)
b) (3,4,2)
c) (8,15,17)
d) (5,5,2)​

Answer 1

OPTION C is Pythagorean triplet!

( 8, 15, 17 )

let a = 8

b = 15

c = 17

$c {}^{2} = a {}^{2} + b {}^{2}$

Putting the value of a, b ,c in the equation

$(17) { }^{2} = (8) {}^{2} + (15) {}^{2}$

$17 = \sqrt{ } 64 + 225$

$17 = \sqrt{189}$

$17 = \sqrt{17 \times 17}$

$17 = 17$