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

Answer:

50 units.

Step-by-step 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.