Question

JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale. If JA = 13, AL = 19, and CK = 7, what is the perimeter of JkL?

Answer 1

The perimeter of the ΔJkL is 78 units .

What is perimeter?

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

How to find the perimeter?

This question will be solved using circle tangent theorem. Recalling circle tangent theorem. This theorem states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments. So by this theorem, we can have J, L and K as an external points.

So JA = JB = 13      

and LA = LC= 19    

KC = KB  =7

so perimeter of triangle JKL,

Perimeter = JA + AL + LC + CK + KB + BL

Perimeter = 13 + 13 +19 +19+ 7+ 7

Perimeter = 78 units

Learn more about the perimeter here: https://brainly.com/question/27705426

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