Answer to Question #77358 in Geometry for cody

Question

In the diagram, GB = 2x + 3..
https://media.edgenuity.com/evresources/8101/8101-04/8101-04-05/8101-04-05-assessment/8101-04-05-25-image1.png


What is GB?

5 units
10 units
15 units
30 units

Answer 1

FG/GA ≡ 2/1 (By the property of a median in an isosceles triangle). FG = 5*x, GA = x+9. 5x/(x + 9)≡2/1 ⇒x=6 ⇒ FG = 30, GA = 15 ⇒FA=FG+GA=45.
FA = EB = 45 (By the property of a median in an isosceles triangle). EB= EG + GB =45, EG/GB ≡ 2/1 ⇒GB=15