averyk829 averyk829
  • 25-07-2021
  • Mathematics
contestada

find the missing side lengths​

find the missing side lengths class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 25-07-2021

Answer:

x = 11 * sqrt(3)

y = 11

Step-by-step explanation:

Use the ratio of the lengths of the sides of a 30-60-90 triangle.

y = 22/2 = 11

x = 11 * sqrt(3)

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Bromine67
Bromine67 Bromine67
  • 25-07-2021

Answer: x = 11√3

y = 11

Step-by-step explanation:

Let the reference angle be 60

b = y

h = 22

p = x

so

sin60 = p/h

[tex]\sqrt{3} /2[/tex] = x/22

so x =( 22[tex]\sqrt{3}[/tex] )/ 2

so x = 11√3

so

[tex]h^2 = p^2 + b^2\\22^2 = (11\sqrt{3)}^2 + b^2\\or, 484 = 363 + b^2\\or, 484-363 = b^2\\or, 121 = b^2\\or, \sqrt{121} = b\\so b = 11[/tex]

Answer Link

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