Question

Is 10,24, and 13 a Pythagorean triple

Answer 1

Answer:

are (3, 4, 5), (6, 8,10), (5, 12, 13), (9, 12, 15), (8, 15, 17), (12, 16, 20), (15, 20, 25), (7, 24, 25), (10, 24, 26), (20, 21, 29), (18, 24, 30), (16, 30, 34), (21, 28, 35), ...

no

Answer 2

Answer:

to check the given numbers are Pythagorean triplets,we need to check whether (base)^2+(height)^2=(hypotenuse)^2

here the longest side is 24

so we have RHB = $10^{2} +13^{2}$

                            = 100+169

                             = 269

LHB = $24^{2}$ = 576

hence LHB is not equal to RHB

i.e, the given numbers do not satisfy the Pythagoras theorem.

hence these numbers cannot be the measure of sides of triangles.

And these are not Pythagorean triple.