Question

There is a Pythagorean triple: (p, 12, 13) , what is the value of p.

Answer 1

Using the Pythagoras’ theorem formula, let us substitute the values in the equation: 

c² = a² + b², where, a = p, b = 12, c = 13. (Since hypotenuse is the longest side, we have taken c = 13)

c² = a² + b²

13² = p² + 12²

169 = p² + 144

p² = 25

p = 5

Answer 2

we know from Pythagoras theorem

P² + 12²= 13²

P² + 144=169

P² = 169-144

P² = 25 = 5²

P= 5

Thus, the Pythagorean triplet is (5,12,13)