Question

GH bisects CF. CF = 2y-2 and CD = 3y -11. find CD

Answer 1

CD = 4

Explanation:

GH bisects CF means CF = 2 CD

CF = 2 CD

⇔ 2y - 2 = 2×(3y - 11)

⇔ 2y - 2 = 6y - 22

⇔ 22 - 2 = 6y - 2y

⇔ 20 = 4y

⇔ y = 5

Calculating CD ,For y = 5 :

CD = 3y - 11

= 3(5) - 11

= 15 - 11

= 4