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Answer:
value of sides YZ is 36 cm
Step-by-step explanation:
Similar triangles states that the length of the corresponding sides are in proportion.
Given that: ΔABC is similar to ΔXYZ
then;
Corresponding sides are in proportion i.e
.....[1]
As per the statement:
side AB = 6 cm, side BC =18 cm and side XY = 12 cm.
Substitute these in [1] to solve for side YZ;
or
By cross multiply we have;
cm
Therefore, the value of sides YZ is 36 cm