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

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

step-by-step explanation:

11

step-by-step explanation:

32.50-7.50=25

225/25=11