Question

PLEASE HURRYGiven the figure with the measurements indicated below, what is MK?

Answer 1

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°:

$\frac{a}{Sin \ A}+\frac{b}{Sin \ B}+\frac{c}{Sin \ C}\\\\\frac{24}{sin \ 45\textdegree}=\frac{JK}{sin 90\textdegree}\\\\JK=33.9411$

#If JMK is a right triangle and angle JKM=45°: then angle MJK is 45°.

Apply Sine Rule to calculate MK:

$\frac{a}{Sin \ A}+\frac{b}{Sin \ B}+\frac{c}{Sin \ C}\\\\\frac{24}{sin \ 45\textdegree}=\frac{MK}{sin 45\textdegree}\\\\MK=24.0$

Hence, MK is 24 inches.