Answer:
Step-by-step explanation:
1). Geometric mean of a and b = [tex]\sqrt{a\times b}[/tex]
Therefore, geometric mean of 2 and 50 = [tex]\sqrt{2\times 50}[/tex]
= 10
2). By geometric mean theorem,
[tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]
[tex]\frac{6}{e}=\frac{e}{24}[/tex]
e² = 6 × 24
e = √144
e = 12
Similarly, [tex]\frac{JL}{KJ}=\frac{KJ}{JM}[/tex]
[tex]\frac{6+24}{d}=\frac{d}{6}[/tex]
d² = 6 × 30
d = √180
d = 6√5
And [tex]\frac{JL}{KL}=\frac{KL}{ML}[/tex]
[tex]\frac{6+24}{c}=\frac{c}{24}[/tex]
c² = 30 × 24
c = √720
c = 12√5
