jaiceh2023 jaiceh2023
  • 25-06-2021
  • Mathematics
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ABCD is a kite, so AC DB and DE = EB. Calculate the length of AC, to the nearest tenth of a centimeter.

ABCD is a kite so AC DB and DE EB Calculate the length of AC to the nearest tenth of a centimeter class=

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sqdancefan
sqdancefan sqdancefan
  • 01-07-2021

9514 1404 393

Answer:

  AC ≈ 6.8 cm

Step-by-step explanation:

For legs a and b of a right triangle with hypotenuse c, the Pythagorean theorem tells us ...

  a = √(c² -b²)

Using this relation, we can find legs CE and AE.

  CE = √(3² -2²) = √5

  AE = √(5² -2²) = √21

AC is the sum of these two lengths:

  AC = AE +EC = √21 +√5

  AC ≈ 6.8 cm

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