Answer:
JK = 3[tex]\sqrt{3}[/tex]
LK = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
the ratio of sides in a 30-60-90° triangle, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2
we can use the 9 in a proportion to find other sides:
9/JK = [tex]\sqrt{3}[/tex]/ 1
cross-multiply:
JK[tex]\sqrt{3}[/tex] = 9
JK = 9/ [tex]\sqrt{3}[/tex] which is the same as 3[tex]\sqrt{3}[/tex] if you rationalize the denominator
9/LK = [tex]\sqrt{3}[/tex]/2
cross-multiply:
LK [tex]\sqrt{3}[/tex] = 18
LK = 18/ [tex]\sqrt{3}[/tex] which is equal to 6[tex]\sqrt{3}[/tex] if you rationalize the denominator
