Observe the figures, The corresponding angles are equal measures, .
The lengths of the corresponding sides are proportional.
\The corresponding sides of similar triangles are proportional .
(Substitute a = 18, c = 9, f = 6)
(Apply cross product:
)
(Multiply:
)
Apply division property of addition: If a = b then .
(Divide each side by 9)
(Cancel common terms)
(Divide:
)
The corresponding sides of similar triangles are proportional .
(Substitute a = 18, d = 12, e = 10)
(Apply cross product:
)
(Multiply:
)
Apply division property of addition: If a = b then .
(Divide each side by 12)
(Cancel common terms)
(Divide:
)
The missing measures are 12 and 15.