Question

Given that
is a Pythagorean triple, identify another example of a Pythagorean triple fromthe following.
(1 point)
(5, 12, 13)
(
25
,
60
,
39
)
(
10
,
12
,
13
)
(
50
,
120
,
130
)
(
15
,
25
,
39
)
A)
Which value of
x
will make
a Pythagorean triple?
(1 point) (x, 63, 65)
x
=
8
,
194
−
−
−
−
−
√
x
=
256
x
=
2
x
=
16

Answer 1

First part: (5, 12, 13) is a Pythagorean triple because 5^2 + 12^2 = 25 + 144 = 169 = 13^2. (Note (50,120,130) is also one — it's 10×(5,12,13).)

Second part: For (x,63,65), x^2 = 65^2 − 63^2 = (65−63)(65+63) = 2·128 = 256, so x = 16.