gomezlily536
gomezlily536 gomezlily536
  • 14-09-2022
  • Mathematics
contestada

What is the length of the long leg in the right triangle shown below? O A. 6 B. 3 C. 643 D. 6√2 30* N 60°​

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27alexanderjett
27alexanderjett 27alexanderjett
  • 14-09-2022

Answer:

   D

Step-by-step explanation:

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fieryanswererft
fieryanswererft fieryanswererft
  • 14-09-2022

Answer:

c.) 6√3

Step-by-step explanation:

This can be solved using both sine and cosine rule.

1st method:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\sf sin(60) = \dfrac{long \ leg}{12}[/tex]

[tex]\sf long \ leg= 12sin(60)[/tex]

[tex]\sf long \ leg= 6\sqrt{3}[/tex]

2nd method:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\sf cos(30) = \dfrac{long \ leg}{12}[/tex]

[tex]\sf long \ leg= 12cos(30)[/tex]

[tex]\sf long \ leg=6\sqrt{3}[/tex]

Ver imagen fieryanswererft
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