In parallelogram HGJL, HK = c – 7, JK = 3c – 33, and GK = c + 12. What is the length of segment GL? EXPLANATION PLEASE

Question

asked Apr 25, 2020 23.3k views

2 Answers

Mikko Wilkman · Answer 1 · 2020-05-01T08:58:54+0000

Answer:

50

Explanation:

Diagonals of a parallelogram bisect each other. So HK = JK and GK = LK.

HK = JK

c − 7 = 3c − 33

26 = 2c

c = 13

GK = LK

c + 12 = LK

13 + 12 = LK

25 = LK

GL is the sum of GK and LK:

GL = GK + LK

GL = 2LK

GL = 50