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Triangle MRN is created when an equilateral triangle is folded in half. Triangle N R M is shown. Angle N R M is a right angle. An altitude is drawn from point R to point S on side M N to form a right angle. The length of N S is 6, the length of S M is 2, the length of R M is x, the length of N R is y, and the length of R S is z. What is the value of x? 2 StartRoot 3 EndRoot units 4 units 4 StartRoot 3 EndRoot units 8 units

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MrRoyal

An equilateral triangle have all its three sides to be congruent.

The value of x is 4

From the question (see attachment), we have the following observations.

  • MN is one of the side lengths of the original equilateral triangle.
  • MR is half the length of MN

Given that:

[tex]\mathbf{MN = 8}[/tex]

Side length MR is then calculated as:

[tex]\mathbf{MR = \frac 12 \times MN}[/tex]

So, we have:

[tex]\mathbf{MR = \frac 12 \times 8}[/tex]

[tex]\mathbf{MR = 4}[/tex]

Also:

[tex]\mathbf{MR = x}[/tex]

So, we have:

[tex]\mathbf{x = 4}[/tex]

Hence, the value of x is 4

Read more about equilateral triangles at:

https://brainly.com/question/5526605

Ver imagen MrRoyal

Answer:

The answer [tex]4\sqrt{3}[/tex] units

Step-by-step explanation:

right on edge

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