maryling1037 maryling1037
  • 14-01-2021
  • Mathematics
contestada

In triangle ABC, DEAC. If AD=12, BD=3, and CE=10, find BE.

In triangle ABC DEAC If AD12 BD3 and CE10 find BE class=

Respuesta :

jcherry99
jcherry99 jcherry99
  • 15-01-2021

Answer:

BE = 2.5

Step-by-step explanation:

Remark

Use triangles ABC and DEB.

Formula

AB/DB = BC / BE

Givens

  • AB = 15
  • BD = 3
  • BC = 10 + x
  • BE = x

Solution

15/3 = (10 + x)/x              Cross multiply

15x = 3(10 + x)                Remove the brackets

15x = 30 + 3x                 Subtract 3x from both sides.

15x - 3x = 30                  Combine

12x = 30                         Divide by 12

x = 30/12

x = 2.5

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