I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?



a
Multiply 4 by 2

b
Multiply 4 by √3

c
Multiply 4 by √2

d
Divide 4 by 2

Respuesta :

Answer:

Please check the answer below.

Step-by-step explanation:

You have been given the short leg in this 30-60-90 triangle.

You must remember that

  • The shortest leg is across from the m∠30°,
  • Hypotenuse is twice the length of the the shortest leg,
  • In order to find the long leg, all you need is to multiply the short leg by [tex]\sqrt{3}[/tex] (commonly known as the square root of 3).

For example, if you have the hypotenuse with length [tex]14[/tex] units.

In order to get the short side, just divide by 2. i.e. 14/2 = 7 units

In order to find the long leg, all you need is to multiply the short leg by [tex]\sqrt{3}[/tex].

i.e. 7 × [tex]\sqrt{3}[/tex].

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