Question
A right triangle has side lengths of m
and n,
where m
and n
are real numbers. Which two could represent the third side of this triangle?
Responses
m2−2mn+n2−−−−−−−−−−−−−√
square root of m squared minus 2 m n plus n squared end root
n2−m2−−−−−−−√
square root of n squared minus m squared end root
(m+n)2−−−−−−−√
square root of open paren m plus n close paren squared end root
n2+m2−−−−−−−√
square root of n squared plus m squared end root
(m+n)(m+n)−−−−−−−−−−−−−√
and n,
where m
and n
are real numbers. Which two could represent the third side of this triangle?
Responses
m2−2mn+n2−−−−−−−−−−−−−√
square root of m squared minus 2 m n plus n squared end root
n2−m2−−−−−−−√
square root of n squared minus m squared end root
(m+n)2−−−−−−−√
square root of open paren m plus n close paren squared end root
n2+m2−−−−−−−√
square root of n squared plus m squared end root
(m+n)(m+n)−−−−−−−−−−−−−√
Answers
GPT 3.5
The two expressions that could represent the third side of the right triangle are:
1) square root of n squared plus m squared: √(n^2 + m^2)
2) square root of (m + n) squared: √((m + n)^2)
1) square root of n squared plus m squared: √(n^2 + m^2)
2) square root of (m + n) squared: √((m + n)^2)