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givi [52]
3 years ago
13

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

Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0

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

<u>The value of MK:</u>

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.

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