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
.