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Vertical Angle Theorem: What It Is and How to Use It

The Vertical Angle Theorem says the opposing angles of two intersecting lines must be congruent, or identical in value. That means no matter how or where two straight lines intersect each other, the angles opposite to each other will always be congruent, or equal in value:

Vertical Angle Theorem: Graph showing two straight lines intersect each other

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How To Find the Area of a Right Triangle the Easy Way

how to find the area of a right triangle: Image of a right triangle with 90° angle

Unlike finding the area of a rectangle or an acute or obtuse triangle, figuring out how to find the area of a right triangle is simple. It's one of the easiest trigonometric functions, since you do not have to use sine, cosine, or the Pythagorean theorem.

First, let's break down the different sides of a right triangle. A right triangle has three sides: a base, height, and hypotenuse. The hypotenuse is the longest side of the triangle and is always the opposite side to the 90° angle. However, you don’t need to know the length of the hypotenuse to find the area of any triangle with a right angle.

To find the area of the triangle, you must multiply the hypotenuse’s two adjacent sides: the base and the height. Once the length of the base and height have been multiplied, divide them in half. Now, you’ve solved the formula for the area of a right triangle. Here it is as an equation:

how to find the area of a right triangle: Formula for the area of a right triangle

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6 Triangle Rules You Need to Know

triangle rules: Diagram of an obtuse triangle

Triangle rules and theorems allow us to understand the properties of this shape. As one of the most central elements of trigonometry, triangles have many geometric rules. Among other things, these help us to distinguish right triangles from equilateral triangles and isosceles triangles.

Let's review some of the most notable trigonometric triangle rules.

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What Are Perfect Triangles?

Image of a perfect triangle using whole numbers 6, 8, and 10

In trigonometry, a perfect triangle is defined as a triangle that has a perimeter equal to its area. There are several ways of finding perfect triangles. A perfect triangle can be an equilateral, an isosceles, or a right triangle. This article will show you several examples!

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How To Find the Height of a Triangle in 3 Different Situations

how to find height of a triangle: what each side of a triangle is called

In trigonometry, the height of a triangle can be determined in many different ways depending on whether it's a right triangle, isosceles triangle (a triangle with two equal sides), or equilateral triangle.

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