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Ann [662]
3 years ago
9

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

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

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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