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### Using Isosceles Right Triangles

The *isosceles right triangle,* or the 45-45-90 right triangle, is a special right triangle. The two acute angles are equal, making the two legs opposite them equal, too. What’s more, the lengths of those [more…]

### Basic Trigonometric Figures

Segments, rays, and lines are some of the basic forms found in geometry, and they're almost as important in trigonometry. You use those segments, rays, and lines to form angles. [more…]

### Basic Trigonometric Angles

When two lines, segments, or rays touch or cross one another, they form an angle or angles. In the case of two intersecting lines, the result is four different angles. When two segments intersect, they [more…]

### Basic Trigonometric Triangles

All on their own, angles are certainly very exciting. But put them into a triangle, and you've got icing on the cake. Triangles are one of the most frequently studied geometric figures. The angles that [more…]

### Radius, Diameter, Circumference, and Area of Circles

A *circle* is a geometric figure that needs only two parts to identify it and classify it: its *center* (or middle) and its *radius* (the distance from the center to any point on the circle). After you've chosen [more…]

### Chords versus Tangents of Circles

You show the diameter and radius of a circle by drawing segments from a point on the circle either to or through the center of the circle. But two other straight figures have a place on a circle. One of [more…]

### How to Solve for a Missing Right Triangle Length

The Pythagorean theorem states that *a*^{2} + *b*^{2} = *c*^{2} in a right triangle where *c* is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two [more…]

### Angles in a Circle

There are several ways of drawing an angle in a circle, and each has a special way of computing the size of that angle. Four different types of angles are: central, inscribed, interior, and exterior. Here [more…]