The measure of the length L is 37.43.
Given
In Triangle JKL the measure of angle J = 26.8 and the measure of angle k is 19 k is 17.
The law of sine or the sine law states the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Let, the length l be x.
The sin rule is given by;
[tex]\rm \dfrac{sinK}{k}=\dfrac{sinL}{l}=\dfrac{sinC}{c}\\\\\dfrac{sin19}{17}=\dfrac{sin134.2}{x}\\\\x = \dfrac{sin134.2\times 17}{sin19}\\\\ x = \dfrac{0.77\times 17}{0.14}\\\\ x=37.43[/tex]
Hence, the measure of the length L is 37.43.
To know more about the Law of sine click the link given below.
https://brainly.com/question/13983159
