KimberlyBurns
KimberlyBurns KimberlyBurns
  • 16-04-2021
  • Mathematics
contestada

In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.

Respuesta :

jcherry99
jcherry99 jcherry99
  • 19-04-2021

Answer:

10

Step-by-step explanation:

Can't do that. I have to write some sort of explanation or the mods have a fit.

Side opposite = 5 √3

Sin(60) = √3 /2

Hypotenuse = x

Sin(60) = √3/2 = 5√3 / x

√3/2 = 5√3 / x                  Multiply both sides by x

x √3/2 = 5√3                    Divide both sides by √3

x/2 = 5

x = 10

The hypotenuse is 10 units long.

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