Diagonal AC of a rectangle ABCD is produced to the point E such that AC : CE = 2 :1, AB = 16 cm and BC = 12 cm. Find the length of DE.
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Answer:
2 root 89
Step-by-step explanation:
l = 12
b= 16
AC : CE = 2x : x
CE = AC / 2
DC= 16 cm ( as opposite sides of rectangle are =)
diagonal = under root l^2 + b^2
AC = under root 12^2 + 16^2
AC = under root 144+ 256
AC = under root 400
AC = 20 cm
Therefore CE will be half of AC = 10 cm
DE = under root DC^2 + CE ^2
DE = under root 16^2 + 10^2
DE = under root 256 + 100
DE= 356 = 2 root 89
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