20004bosquez 20004bosquez
  • 10-05-2020
  • Mathematics
contestada

A 30 60 90 triangle with a hypotnuse of 10 square roots of 47.
Solve for all the sides please?

Respuesta :

kaliaaq kaliaaq
  • 10-05-2020

Answer:

The shorter side is [tex]5\sqrt{47}[/tex] and the longer side is [tex]5\sqrt{141}[/tex].

Step-by-step explanation:

For a 30 60 90 right triangle, the hypotenuse is x, the shorter side is 22x, and the longer side is [tex]x\sqrt{3}[/tex].

[tex]10\sqrt{47}[/tex] divided by 2 is [tex]5\sqrt{47}[/tex]

[tex](5\sqrt{47})\sqrt{3} = 5\sqrt{141}[/tex]

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