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Given the circle below with secants CDE

and GFE . If 19=

18

DE=19,FE=18 and

GF is 33 more than CD, find the length of GF

. Round to the nearest tenth if necessary.

Given the circle below with secants CDE and GFE . If 19= 18 DE=19,FE=18 and GF is-example-1
User Ingconti
by
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1 Answer

4 votes

Answer: 20

Explanation:

With 2 secants, it's the inside of the secant times the whole secant for one line = same on other side but for other secant

EF(EF+GF)=ED(ED+CD) EF=18; GF=3+CD; ED=19; CD=CD

18(18+3+CD)=19(19+CD) substitute and simplify and distribute

18(21+CD)=361+19CD

378+18CD=361+19CD

CD=17

GF=3+CD substitute

=3+17

=20

User Toxaq
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