Question

Given the kite below, if NO = 5 and OM = 12, what is the value of NM?

Answer 1

Answer:

NM = 13

Step-by-step explanation:

pythagorean theorem: $a^{2} + b^{2} = c^{2}$

a or NO = 5

b or OM = 12

c or NM = ?

plug in what is known:

⇒ $5^{2} + 12^{2} = c^{2}$

⇒ $25 + 144 = c^{2}$

⇒ 169 = $c^{2}$

square root each side of the equation:

⇒ $\sqrt{169} = \sqrt{c^{2} }$

solve:

⇒ 13 = c