Find the length of XZ in the kite below. Round to two decimal points if necessary

Question

anonymous · Answer

attachment

ganeshie8 · Answer

hint : the diagonal through vertex angles bisects the other diagonal

ganeshie8 · Answer

hint2 : X and Z are the vertex angles here

anonymous · Answer

@ganeshie8 ugh im still confused

ganeshie8 · Answer

look at the figure once,
XZ is the  diagonal thru vertex angels
the other diagonal is WY

ganeshie8 · Answer

XZ bisects WY

wat does that mean ?

anonymous · Answer

@ganeshie8 that XZ are vertex angles?

ganeshie8 · Answer

bisecting means dividing things into two equal parts

ganeshie8 · Answer

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anonymous · Answer

@ganeshie8 so how do i find the length of XZ then?

ganeshie8 · Answer

XZ bisects WY

means,

XZ cuts WY into two equal pieces.... 

so,
PW = PY = 15

ganeshie8 · Answer

|dw:1384243548145:dw|

ganeshie8 · Answer

Find PZ first
you knw pythagora right ?

ganeshie8 · Answer

30^2 = 15^2 + PZ^2

solve PZ

anonymous · Answer

@ganeshie8 i got a crazy answer so i dont think im doing it right lol

ganeshie8 · Answer

30^2 = 15^2 + PZ^2

900  = 225 + PZ^2

900 - 225 = PZ^2

675 = PZ^2

25.98 = PZ

PZ = 25.98

ganeshie8 · Answer

yup ! its a crazy answer but its a correct answer lol

ganeshie8 · Answer

hey wait, we want to find XZ right ?
not just PZ ?

anonymous · Answer

@ganeshie8 oh okay thats the answer i got but i didn't think it was right lol and yep!

ganeshie8 · Answer

look at picture once.

ganeshie8 · Answer

|dw:1384244055167:dw|

ganeshie8 · Answer

XZ = XP + PZ
     = ?

anonymous · Answer

@ganeshie8 35.98?

ganeshie8 · Answer

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