What is the correct equation for segment EF?

A. EF¯= (EG2)(GH2)

B. EF¯= (EG)(GH)

C. EF¯= (EG)(EH)

D. EF¯= (EG2)(FG2)

note:EF are line and all the anwser after equal sign are under a square root hope im clear

Guest Jul 25, 2019

#1**+5 **

(This question reminds me of this solution )

m∠EFH = m∠EGF because they are both right angles

m∠FEH = m∠GEF because they are the same angle

So by the AA similarity theorem, △EFH ~ △EGF

EF / EH = EG / EF

Multiply both sides of the equation by EF

EF^{2} / EH = EG

Multiply both sides of the equation by EH

EF^{2} = (EG)(EH)

Take the square root of both sides.

EF = \(\sqrt{\text{(EG)(EH)}}\)

By the way, welcome to the forum!

hectictar Jul 25, 2019