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.

# TutorMe Blog

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

## What Is a Right Angle, and Why Is It Important?

If you’ve heard the term “right angle” in geometry class and wondered, “What is a right angle?” you’ve come to the right place. Here, we’ll define right angles, their properties, how they form, and how they convert to radians.

First, let’s define a right angle. In trigonometry, different types of angles are defined by their angle measurements. A right angle is 90 degrees. An acute angle is less than 90 degrees. An obtuse angle is more than 90 degrees.

## What Makes Two Shapes Similar Figures?

Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio. Knowing how to identify similar figures makes it easier to prove geometric theorems and postulates.

There's a difference between similar and congruent figures. Two shapes are congruent when they are the same exact size *and* have the same angle measurements. Similar figures, on the other hand, do not have to be the same size.

Below is an example of similar shapes:

Although they are different sizes, triangle ABC and triangle DEF are considered similar triangles because they have proportional shapes and angles. Triangle ABC is simply an enlargement of DEF.

## Finding the Vector Magnitude of a Line Segment

Vector magnitude is the distance between the initial point and terminal point of a directed line segment. Here is a picture of vector AB:

The length of the vector, in this case, is expressed as absolute value AB (|AB|).

## How To Find the Vertex of a Parabola

To find the vertex of a parabola, you first need to know how to graph quadratic equations. When graphing these, remember that every quadratic function can be put into a standard form (more on this later). This allows you to find the leading coefficient and solve for the x-intercepts. The x-intercept and y-intercept are points on the graph where the parabola intersects the x-axis or y-axis.

Putting the quadratic function into standard form will also let you find the axis of symmetry, the line that runs through the vertex and divides the parabola in half. You can then find the x-coordinate and y-coordinate of the vertex, which is the highest or lowest point on a parabola.