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1 vote
Suppose

DK
is an angle bisector of △DEF.

a
Given: EK=2, FK=5, DF=10.
Find DE.

1 Answer

7 votes

Answer:

4 units

Explanation:

Angle bisector property says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

By angle bisector property,


(EK)/(KF)=(DE)/(DF)\\ \\(2)/(5)=(DE)/(10)\\ \\DE=(2\cdot 10)/(5)=4\ units

Suppose DK is an angle bisector of △DEF. a Given: EK=2, FK=5, DF=10. Find DE.-example-1
User NigelK
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