rightdimple3130 rightdimple3130
  • 17-11-2021
  • Mathematics
contestada

PK and PJ are two secants from point P to circle O as shown below

If PL=6, LK=8, and PM=4, what is the length of PJ?

A. 17
B. 21
C. 12
D. 3
​

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 25-11-2021

A secant line intersects a curve at least two distinct points

The length of PJ is 21

The given parameters are:

PL = 6

LK = 8

PM = 4

Because the lines are secants, it means that:

PL * PK = PM * PJ

Where

PK = PL + LK

So, we have:

PK = 6 + 8

PK = 14

This gives

PL * PK = PM * PJ

6 * 14 = 4 * PJ

Divide both sides by 4

21 = PJ

Rewrite as:

PJ = 21

Hence, the length of PJ is 21

Read more about secant lines at:

https://brainly.com/question/12542621

Answer Link

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