Question

3

JK, KL, and IJ are all tangent to o (not drawn to scale). JA = 8, AL = 11, and
CK = 10. Find the perimeter of AJKL.

Answer 1

`P = 58`

Explanation:

The image if the circle and triangle can be found online

Given

`JA = 8`

`AL = 8`

`CK = 10`

Required

The perimeter of JKL

Since the mid-points of the tangents are A, B and C respectively.

`JK = JB + BK`

Where

`JB = JA = 8`

`BK = CK = 10`

So:

`JK =8+10 =18`

`JL = JA + AL`

`JL = 8+11 = 19`

`KL = CL + CK`

Where

`CL =AL = 11`

So:

`KL = 11+10 = 21`

So, the perimeter (P) is:

`P = JK+ KL +JL`

`P = 18 + 19 + 21`

`P = 58`