Question

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

Answer 1

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,

$\frac{LM}{MK}=\frac{MK}{MJ}$

Let MK = x

Substituting the values LM = 6 in, MK = x and MJ = 24 in, we have,

$\frac{6}{x}=\frac{x}{24}$

Simplifying, we get,

$144=x^2$

Taking square root on both sides, we get,

$12=x$

Therefore, the value of x is 12.

Hence, the value of MK = 12 in.