Question

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

Answer 1

Answer:

$HJ=20\ units$

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

$(RH)(HT)=(GH)(HJ)$

substitute the given values

$(10)(16)=(8)(HJ)$

solve for HJ

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

Answer 2

Answer:

20 units

Step-by-step explanation: