Question

JK, KL and LJ are all tangent to O (not drawn to scale). JA = 13, AL = 9, and

CK = 11. Find the perimeter of JKL.
a.)66
b.)44
c.)33
d.)48

Answer 1

a.) 66

Explanation:

Perimeter of JKL = JA + AL + CK + CL + KB + JB

JA = 13,

AL = 9,

CK = 11

CL = AL = 9 (tangents drawn from an external point are congruent)

KB = CK = 11 (tangents drawn from an external point are congruent)

JB = JA = 13 (tangents drawn from an external point are congruent)

Plug in the values

Perimeter of JKL = 13 + 9 + 11 + 9 + 11 + 13

= 66