MiriamD16
MiriamD16 MiriamD16
  • 23-03-2020
  • Mathematics
contestada

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

Given the figure with the measurements indicated below what is MK class=

Respuesta :

vijayalalitha vijayalalitha
  • 29-03-2020

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.

Answer Link

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