Respuesta :
If all three side lengths are INTEGERS and form PYTHAGOREAN TRIPLE then we know decimals are not allowed
if 24 and 51 are both legs then
[tex] 24^{2} + 51^{2} = x^{2} [/tex]
x = 3177
and squre root of that gives us 56.364.... NOT an integer
So that means one of them is not a leg and since hypotenuse is longer than both legs, 51 must be the hypotenuse so to get the third side
[tex] 51^{2} - 24^{2} = x^{2}[tex]
[tex] x^{2} [/tex]=2025
x=45, leg B
if 24 and 51 are both legs then
[tex] 24^{2} + 51^{2} = x^{2} [/tex]
x = 3177
and squre root of that gives us 56.364.... NOT an integer
So that means one of them is not a leg and since hypotenuse is longer than both legs, 51 must be the hypotenuse so to get the third side
[tex] 51^{2} - 24^{2} = x^{2}[tex]
[tex] x^{2} [/tex]=2025
x=45, leg B