4.1 Triangles

This is some of the vocab we learned today.
Notice the plural of vertex is not vertexes, but vertices.
The three types of triangles are listed and the notes I took are on there as well.

This picture is of the triangles by their angles.
Equiangular is the same as equilateral except for the fact that angular means by angles and equilateral is by their sides.



When finding the measures of the sides of an equilateral triangle, you can tell they are all equal to each other. So, you can set any 2 of the equations equal to each other, and obviously, the other equations of the sides should come out to be the same because an equilateral triangle's sides are all equal.

For an isosceles triangle, you will take the two sides that are equal to each other and set them equal to each other. From there, you figure out your variable, and you can plug it into each equation, and to the side that is not equal to the other sides.

When given the points of the vertices, it is easiest to put them on a coordinate plane and plot the points. Once you have plotted the points, you may use the distance formula to find the measures of the sides. After you have found the sides, you can classify what type of triangle it is. If all 3 sides are the same, it is an equilateral triangle. If two sides are equal, it is an isosceles triangle and if none of the sides are equal it is a scalene triangle.

Here is the distance formula one more time.