Answer:
24 inches
Step-by-step explanation:
We use Sine Rule to find the length of JK. MK bisects angle JKL, therefore angle JKM=45°:
[tex]\frac{a}{Sin \ A}+\frac{b}{Sin \ B}+\frac{c}{Sin \ C}\\\\\frac{24}{sin \ 45\textdegree}=\frac{JK}{sin 90\textdegree}\\\\JK=33.9411[/tex]
#If JMK is a right triangle and angle JKM=45°: then angle MJK is 45°.
Apply Sine Rule to calculate MK:
[tex]\frac{a}{Sin \ A}+\frac{b}{Sin \ B}+\frac{c}{Sin \ C}\\\\\frac{24}{sin \ 45\textdegree}=\frac{MK}{sin 45\textdegree}\\\\MK=24.0[/tex]
Hence, MK is 24 inches.
