Question

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

Answer 1

NM = 13

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:

⇒
`√(169) = \sqrt{c^(2) }`

solve:

⇒ 13 = c