Respuesta :

Given the triangle shown in the picture, you can identify that the small square drawn inside of it indicates that that angle measure 90 degrees and, therefore, it is a Right Triangle.

In order to convert angles in degrees to angles in radians, you need to remember that:

[tex]1rad=\frac{180\text{\degree}}{\pi}[/tex]

Therefore, 90 degrees to radians is:

[tex]90\text{\degree}\cdot\frac{\pi}{180\text{\degree}}=\frac{\pi}{2}\approx1.57080[/tex]

By definition, the sum of the interior angles of a triangle is 180 degrees. Knowing that:

[tex]180\text{\degree=}\pi\approx3.14159[/tex]

You can set up the following equation in order to find the measure of the angle α:

[tex]\alpha=3.14159-1-1.57080[/tex][tex]\alpha=4.71239\text{ }rad[/tex]

Use the following to find the lengths:

[tex]undefined[/tex]

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