Answer:
NM = 13
Step-by-step explanation:
pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]
a or NO = 5
b or OM = 12
c or NM = ?
plug in what is known:
⇒ [tex]5^{2} + 12^{2} = c^{2}[/tex]
⇒ [tex]25 + 144 = c^{2}[/tex]
⇒ 169 = [tex]c^{2}[/tex]
square root each side of the equation:
⇒ [tex]\sqrt{169} = \sqrt{c^{2} }[/tex]
solve:
⇒ 13 = c
