Question

If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?

Answer 1

`HJ=20\ units`

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

`(RH)(HT)=(GH)(HJ)`

substitute the given values

`(10)(16)=(8)(HJ)`

solve for HJ

`HJ=160/8\\HJ=20\ units`