Find the perimeter of the kite below

Question

anonymous · Answer

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anonymous · Answer

@ranga could you help please?

ranga · Answer

Take the two right triangles on the left -- the big one and the small one and calculate the hypotenuse for each triangle.

anonymous · Answer

@ranga I don't calculate the two on the right first?

ranga · Answer

It is symmetrical. You can calculate either the right or the left but you don't have to calculate both.  Add up the hypotenuses on one side and double it to get the perimeter.

anonymous · Answer

@ranga the perimeter equals 25?

ranga · Answer

What did you get for the two hypotenuses?

anonymous · Answer

@ranga 576

ranga · Answer

No, the individual value of each hypotenuse.  The longer hypotenuse = ?
The shorter hypotenuse = ?

anonymous · Answer

@ranga I think I did it completely wrong

ranga · Answer

try it again.

anonymous · Answer

@ranga 65?

ranga · Answer

longer hypotenuse = sqrt( 24^2 + 7^2 ) = sqrt(625) = 25
shorter hypotenuse = sqrt(7^2 + 4^2) = sqrt(49 + 16) = sqrt(65) = 8.06

total = 25 + 8.06 = 33.06.  Double it and you get 66.12.

anonymous · Answer

@ranga thank you!

ranga · Answer

yw.