Question

What value of x that is less than 51 will make (x,45,51)
(
𝑥
,
45
,
51
)
a Pythagorean triple?(1 point)
x=
𝑥
=

Answer 1

We need x^2 + 45^2 = 51^2. Compute 51^2 − 45^2 = (51−45)(51+45) = 6·96 = 576, so x^2 = 576 and x = 24. Thus x = 24.