Question

A)
Given that
is a Pythagorean triple and
, what is the value of
x
?
(1 point) (10, 24, x) x > 24
x =
A)
What value of
x
that is less than 51 will make
a Pythagorean triple?
(1 point) (x, 45, 51)
x =

Answer 1

A) x = sqrt(10^2 + 24^2) = sqrt(100 + 576) = sqrt(676) = 26.

B) x^2 + 45^2 = 51^2 → x^2 = 51^2 − 45^2 = (51−45)(51+45) = 6·96 = 576 → x = 24.