Observe the figure:
\The sides of the
are
and
.
The sides of the
are
and
.
If
and
are similar, then measures of their corresponding sides are proportional.
(Corresponding sides are proportional)
(Substitute
and
)
The equal property of equality:
(or)
(or)
.
Case(i):
.
(First proportion)
(Find the cross product)
(Multiply)
(Divide each side by
)
(Cancel common terms)
The value of
is
.
Case (ii):
.
(Second proportion)
(Find the cross product)
(Multiply)
(Divide each side by
)
(Cancel common terms)
The value of
is
.
Therefore, the missing measures are
and
.
The values are
and
.