Plzzz 25 points given line ea and line ec are common external tangents of circle g and circle b, line dc=44, line gf= 7, line eg=25 what is the measurement of line ae

This problem should have been posted with a diagram, because some of the points (D,F) are undefined. Assumptions have therefore been made to make it a sensible question. So please VERIFY diagram with your given diagram to confirm the question BEFORE reading further.

We are given EA and EC are common tangents to circles G & B.

(assumed mEG < mEB, and A, C are tangent points of B, D & F are tangent points on G, see diagram).

GF=7=radius of G.

EG=25=distance of E to centre of circle G.

EF

=sqrt(25^2-7^2) (pythagoras)

=sqrt(576)

=24

EA=EC (external tangents from same point E to circle B)

=EF+FA

=24+44

=68

11.18

Step-by-step explanation:

You’re substituting 5 for x in the equations...

Sqrt[x^2+4x^2]

Sqrt[5^2+4(5)^2]

Sqrt[25+4(25)]

Sqrt[25+100]

Sqrt[125]