# 30 Degree Angle X

### Given the 30 60 90 triangle below find the lengths of the missing sides.

30 degree angle x. See the proof below for more on this. It works by first creating a rhombus and then a diagonal of that rhombus. A 30 degree angle is marked at the top of the triangle.

Using the properties of a rhombus it can be shown that the angle created has a measure of 30 degrees. Enter your answer as an exact value in the box. The angles are calculated with respect to sin cos and tan functions.

The shortest side 1 is opposite the 30 degree angle. Since side x is opposite the 60 degree angle we know that it is equal to 1 sqrt 3 or about 1 73. Measuring degrees we often measure degrees using a protractor.

The exact value of sin 30 degrees is. Sine 30 degrees value. The normal protractor measures 0 to 180.

18 20 24 30 36 40 45 60 72 90 120 and 180 which makes a lot of basic geometry easier. Degrees angles we can measure angles in degrees. Here we will discuss the value for sin 30 degrees and how to derive the sin 30 value using other degrees or radians.

Start by drawing a horizontal line and marking the left end a and the right end b to serve as the vertex of the angle. A second right triangle has a leg that is the same as the side opposite the 30 degree angle of the first triangle. On the second right triangle the hypotenuse is labeled x and an angle is labeled 45 degrees.

### Geometry Problem 109 Angle Right Triangle Cevian 45 Degrees

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