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  • 24-05-2021
  • Mathematics
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10. If ABCD is a kite, DB=48 in. and CE=7 in. find DC. *

49 in.
23 in.
25 in.
47 in.

10 If ABCD is a kite DB48 in and CE7 in find DC 49 in 23 in 25 in 47 in class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 24-05-2021

Answer:

25 in.

Step-by-step explanation:

DEC is a right triangle. <DEC is a right angle.

(DE)² + (EC)² = (DC)²

DE = ½DB = ½(48 in.) = 24 in.

(24 in.)² + (7 in.)² = (DC)²

576 in.² + 49 in.² = (DC)²

(DC)² = 625 in.²

DC = 25 in.

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