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

PLEASE HURRY Given the figure with the measurements indicated below, what is MK?-example-1
User Rombez
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1 Answer

4 votes

Answer:

24 inches

Explanation:

We use Sine Rule to find the length of JK. MK bisects angle JKL, therefore angle JKM=45°:


(a)/(Sin \ A)+(b)/(Sin \ B)+(c)/(Sin \ C)\\\\(24)/(sin \ 45\textdegree)=(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:


(a)/(Sin \ A)+(b)/(Sin \ B)+(c)/(Sin \ C)\\\\(24)/(sin \ 45\textdegree)=(MK)/(sin 45\textdegree)\\\\MK=24.0

Hence, MK is 24 inches.

User Vagran
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