Respuesta :

The value of the variable x is 5. Then the value of length AR will be 2.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABC is given.

There is a line segment RE which is parallel to the BC.

Then the triangle ΔABC and triangle ΔARE will be the similar triangles.

Then the ratio of the corresponding side will be constant.

(x – 3) / (x – 1) = 5 / 10

         2(x – 3) = x – 1

           2x – 6 = x – 1

                    x = 5

Then the value of AR will be

AR = x – 3

AR = 5 – 3

AR = 2

More about the triangle link is given below.

https://brainly.com/question/25813512

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