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]

Ver imagen frika
Answer Link

Otras preguntas

Add and simplify (3x³-2x²-x+2)+(4x²+3x-6)1) 3x³-2x²+4x-82) x³-2x²+4x-83) 3x³+2x²+2x-44) x³+2x²+4x-4
Solve this equation for x in terms of y: 3x+2y=4
how many counts does a semibreve have
Calculate the number of moles 56.75 g of Al(NO3)3 8.35 g of Al2(SO4)3 3.8 g of FeSO4
what is the three most profitable commodities in Africa?
what is the three most profitable commodities in Africa?
why did the karankawas disappear
why do humans need nitrogen to survive?
Traditions Clothing Store is having a sale. Shirts that were regularly priced at $20 are on sale for $17. What is the percentage of decrease in the price of the
a student sells small and large greeting cards decorated at a craft fair. The small cards coast 3 dollars per card, and the large cards coast 5 dollars per card