The straight line that "just touches" the curve at a particular location is called the tangent line to a plane curve. The perimeter of ELPJ is 18 units.
What is a tangent?
The straight line that "just touches" the curve at a particular location is called the tangent line to a plane curve.
What is the two tangent theorem?
The two tangent theorem asserts that if two lines are drawn from the same point outside a circle, and both lines are tangent to the circle, their lengths will be equal.
As we know about the two tangent theorem, therefore, the length of the different sides can be written as,
[tex]\rm LU=LK=4\ Units\\EK=ES=2\ Units\\JS=JV=2\ Units \\PV=PU= 1\ Unit[/tex]
Therefore, the perimeter of ELPJ can be written as,
[tex]\rm Perimeter = EL+LP+PJ+JE[/tex]
[tex]=(EK+LK)+(LU+PU)+(PV+JV)+(JS+ES)\\\\= (2+4)+(4+1)+(1+2)+(2+2)\\\\= 6+5+3+4\\\\=18\ Units[/tex]
Hence, the perimeter of ELPJ is 18 units.
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