Question

Which value of x will make (x,63,65)
(
𝑥
,
63
,
65
)
a Pythagorean triple?(1 point)
Responses

x=16
𝑥
=
16

x equals 16

x=2
𝑥
=
2

x equals 2

x=8,194−−−−−√
𝑥
=
8
,
194

x equals Start Root 8,194 End Root

x=256

Answer 1

Use the Pythagorean relation x^2 + 63^2 = 65^2.

Compute x^2 = 65^2 − 63^2 = (65−63)(65+63) = 2·128 = 256, so x = √256 = 16.

Answer: x = 16.