Question

Parallelogram H G J L is shown. Diagonals are drawn from point H to point J and from point G to point L and intersect and point K. In parallelogram HGJL, HK = c – 7, JK = 3c – 33, and GK = c + 12. What is the length of segment GL? GL = units

Answer 1

GL = 50 units

Explanation:

Answer 2

50 units.

Explanation:

It is given that HGJL is a parallelogram and diagonals intersect each other at point K.

`HK=c-7,JK=3c-33,GK=c+12`

We now that diagonals of parallelogram bisect each other. So,

`HK=JK`

`c-7=3c-33`

`33-7=3c-c`

`26=2c`

Divide both sides by 2.

`13=c`

Now,

`GK=c+12=13+12=25`

Diagonals of parallelogram bisect each other. So,

`GL=2(GK)=2(25)=50`

Therefore, the measure of GL is 50 units.