Question

С

ABC and AED are straight lines.
BE and CD are parallel.
В.
AC = 12.3 cm
AB = 8.2 cm
BE = 3.8 cm
a) Work out length CD.
А
E
D
AD = 9.15 cm
b) Work out length ED.

Answer 1

Explanation:

Answer 2

9514 1404 393

Answer:

a) CD = 5.7

b) ED = 3.05

Explanation:

Triangle ABE is similar to triangle ACD by AA similarity. This means we can write the proportions ...

a) CD/BE = AC/AB

CD = BE(AC/AB) = 3.8(12.3/8.2)

CD = 5.7

__

b) ED/AD = BC/AC

ED = AD((AC -AB)/AC) = 9.15(12.3 -8.2)/12.3

ED = 3.05