Find the length of LN in the kite below. Round to the nearest hundredth.

Question

Find the length of LN in the kite below.  Round to the nearest hundredth.

anonymous · Answer

attachment

jim_thompson5910 · Answer

how would you find the length of PN?

anonymous · Answer

not sure

anonymous · Answer

Once again, you just have to manipulate Pythagorean theorem to find the missing side.

mertsj · Answer

The diagonals of a kite are perpendicular so use the Pythagorean Theorem to find PN and then double it to find LN

jim_thompson5910 · Answer

hint: solve for x

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anonymous · Answer

aggh I don't know I really suck at this

jim_thompson5910 · Answer

a^2 + b^2 = c^2 ... pythagorean theorem

x^2 + 8^2 = 18^2 ... plug in the given info

x^2 + 64 = 324

....
....
....

x = ???

anonymous · Answer

130 is the answer?

jim_thompson5910 · Answer

how did you get 130

anonymous · Answer

lol 130 times 2 plus 64=324

jim_thompson5910 · Answer

ah no, x^2 means x squared (not x times 2)

anonymous · Answer

ooh

jim_thompson5910 · Answer

x^2 + 64 = 324

x^2 = 324 - 64

x^2 = 260

x = sqrt(260)

x = sqrt(4*65)

x = sqrt(4)*sqrt(65)

x = 2*sqrt(65)


now you double that to get 4*sqrt(65), which is the exact length of LN

jim_thompson5910 · Answer

sqrt means "square root"

anonymous · Answer

hahaah thanks so my final answer is 65 then?

jim_thompson5910 · Answer

if you're looking for an approximate length of LN, then

4*sqrt(65) = 32.249 roughly

jim_thompson5910 · Answer

so LN is roughly 32.249 units long

anonymous · Answer

lmao okay thanks XD

jim_thompson5910 · Answer

yw