Answer:
8.25 cm and 12.5 cm
Explanation:
Given a line parallel to a side of the triangle and it intersects the other two sides, then it divides those sides proportionally, that is
(i)
=
, substitute values
=
( cross- multiply )
2.5 EC = 11.25 ( divide both sides by 2.5 )
EC = 4.5 cm
Then
AC = AE + EC = 3.75 + 4.5 = 8.25 cm
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(ii)
Similarly
=
, substitute values
=
, that is
=
( cross- multiply )
3.6 EC = 28.8 ( divide both sides by 3.6 )
EC = 8 cm
and
AC = AE + EC = 4.5 + 8 = 12.5 cm