Respuesta :

Answer:

x=60

Step-by-step explanation:

in similar triangles ratio of sides is equal.

[tex]\frac{100}{x} =\frac{x}{36}\\x^{2} =100 \times 36\\x=10 \times 6=60[/tex]

The ratio of the corresponding sides of the triangle is constant. Then the missing length x is 60 units.

What is the triangle?

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

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The ratio of the corresponding sides of the triangle is constant.

100 / x = x / 36

      x² = 100 x 36

      x² = 3600

        x = 60

More about the triangle link is given below.

https://brainly.com/question/25813512

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