Answer:
[tex]HJ=20\ units[/tex]
Step-by-step explanation:
The complete question is
RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units
we know that
The intersecting chords theorem is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal
so
In this problem
[tex](RH)(HT)=(GH)(HJ)[/tex]
substitute the given values
[tex](10)(16)=(8)(HJ)[/tex]
solve for HJ
[tex]HJ=160/8\\HJ=20\ units[/tex]
