Question

HL= Help me asap!! Thanks so much I appreciate it :)

Answer 1

The value of length HL is 8.

How to find HL when two secant intersect outside a circle?

A secant is a line that intersects a circle in exactly two points

When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other.

Therefore,

(EF + FL)FL = HL(GH + HL)

(10 + 14)10 = (HL + 30 - HL)HL

240 = 30(HL)

divide both sides by 30

Hence,

240 / 30 = 30HL / 30

8 = HL

Therefore,

HL = 8

learn more on secant here: brainly.com/question/15532257

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