minecraftfan12348
minecraftfan12348 minecraftfan12348
  • 11-01-2022
  • Mathematics
contestada

What is the value of x in the triangle?

What is the value of x in the triangle class=

Respuesta :

hochunyung94 hochunyung94
  • 11-01-2022

Answer:

A. 4

Step-by-step explanation:

Use the law of sines to solve:

[tex]\frac{sin 90}{8}=\frac{sin30}{x} \\x=8sin30\\x=4[/tex]

Alternate method: use properties of 30-60-90 triangle:

If the hypotenuse of a 30-60-90 triangle has a length of x, then the shortest leg has a measure of [tex]\frac{x}{2}[/tex].

Substitute x and you will get 4 as your answer.

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