Question

RT and GJ are chords that intersect at point H.

A circle is shown. Chords R T and G J 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

Answer 1

b 20 on edge

Explanation:

Answer 2

20 units

Explanation:

Given that:

R T and G J intersect at point H.

• RH = 10 units
• HT = 16 units
• GH = 8 units

As we know, when two chords intersect each other inside a circle, the products of their segments are equal.

So the product of RH and HT = 10*16 = 180 units

<=> the product of GH*HJ = 160 units

<=> HJ = 160 / GH

<=> HJ = 160/8 = 20 units