Answer:
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Answer:
Therefore the length of EC is 6.67 ft.
Step-by-step explanation:
Given:
BC = 12 ft
AC = 6.75 ft
DE = 3ft
DE is parallel to AC.
Angle C is 60°.
Angle A and Angle BDE are both right angles.
Triangle ABC is similar to Triangle DBE.
To Find:
EC = ?
Solution:
Δ ABC ~ Δ DBE ..................Given
If two triangles are similar then their sides are in proportion.
On substituting the given values we get
Now as B - E - C,
..........Addition property
substituting the given values we get
Therefore the length of EC is 6.67 ft.