The length of MK is 12 in
Explanation:
Given that the length of LM = 6 in and MJ = 24 in
We need to determine the value of MK
The value of MK:
By similar right triangles, we have,
[tex]\frac{LM}{MK}=\frac{MK}{MJ}[/tex]
Let MK = x
Substituting the values LM = 6 in, MK = x and MJ = 24 in, we have,
[tex]\frac{6}{x}=\frac{x}{24}[/tex]
Simplifying, we get,
[tex]144=x^2[/tex]
Taking square root on both sides, we get,
[tex]12=x[/tex]
Therefore, the value of x is 12.
Hence, the value of MK = 12 in.
