avirmani2024 avirmani2024
  • 18-12-2019
  • Mathematics
contestada

Suppose
DK
is an angle bisector of △DEF.

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

Respuesta :

frika
frika frika
  • 24-12-2019

Answer:

4 units

Step-by-step 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,

[tex]\dfrac{EK}{KF}=\dfrac{DE}{DF}\\ \\\dfrac{2}{5}=\dfrac{DE}{10}\\ \\DE=\dfrac{2\cdot 10}{5}=4\ units[/tex]

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