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25 December, 05:36

In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about triangle EFG are true? Check all that apply.

A. EG = square root of 3 * FG

B. EG = 2 * FG

C. EF = square root of 3 * FG

D. EG = square root of 3 / 2 * EF

E. EF = 2 * FG

F. FG = square root of 3 / 2 * EF

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Answers (2)
  1. 25 December, 07:12
    0
    A. EG = √3 * FG

    D. EG = √3/2 * EF

    E. EF = 2 * FG

    Step-by-step explanation:

    apex
  2. 25 December, 09:06
    0
    A. EG = √3 * FG

    D. EG = √3/2 * EF

    E. EF = 2 * FG

    Step-by-step explanation:

    ∵ tan 60 = √3

    ∵ tan60 = EG/GF

    ∴ EG/GF = √3

    ∴ EG = √3 * GF ⇒ A

    ∵ m∠F = 60°

    ∵ sin60 = √3/2

    ∵ sin 60 = EG/EF

    ∴ √3/2 = EG/EF

    ∴ EG = √3/2 * EF ⇒ D

    ∵ cos60 = 1/2

    ∵ cos60 = GF/EF

    ∴ GF/EF = 1/2

    ∴ EF = 2 * GF ⇒ E
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Home » Mathematics » In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about triangle EFG are true? Check all that apply. A. EG = square root of 3 * FG B. EG = 2 * FG C. EF = square root of 3 * FG D.
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