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4vir4ik [10]
3 years ago
8

Given angle D= 60 degrees, determine the PERIMETER of triangle ABC.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

Answer:

15*(1+root(3))

Step-by-step explanation:

BD=5, BC=5*root(3), you can find it by using trigonometry.

  • AC^2+DC^2=AD^2

AC^2=300, AC=10*root(3)

  • AB^2+BC^2=AC^2

AB^2=225, AB=15.

Perimeter of ABC is AB+BC+CA=15+5*root(3)+10*root(3).

15(1+root(3))

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