Question

10. If ABCD is a kite, DB=48 in. and CE=7 in. find DC. *

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

Answer 1

25 in.

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.