34,697 views
44 votes
44 votes
See the similar shape below and find the length of /YZ/

See the similar shape below and find the length of /YZ/-example-1
User Daniel Tate
by
3.0k points

1 Answer

28 votes
28 votes

Answer:

YZ = 20 cm

Explanation:

Δ XYZ and Δ CBA are similar ( AA postulate )

The corresponding sides are then in proportion , that is


(YZ)/(BA) =
(XY)/(CB) ( substitute values )


(YZ)/(8) =
(25)/(10) = 2.5 ( multiply both sides by 8 )

YZ = 8 × 2.5 = 20 cm

User Ana Fernandes
by
2.7k points