Ask Question
14 July, 20:52

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

+5
Answers (2)
  1. 14 July, 21:48
    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
  2. 14 July, 23:19
    0
    A. EG = √3 * FG

    D. EG = √3/2 * EF

    E. EF = 2 * FG

    Step-by-step explanation:

    apex
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers