Table of Contents

## Overview of Triangles

A triangle is a three-sided polygon. The three sides are called the base, the height, and the hypotenuse. The base is the side on the bottom, the height is the side perpendicular to the base, and the hypotenuse is the longest side of the triangle. The angles of a triangle always add up to 180 degrees. Construction of Triangle.

The three angles of a triangle always add up to 180 degrees. The longest side of a triangle is called the “base” and the other two sides are called the “angles”. Triangles can be classified according to their angles. A “right triangle” has one angle that is 90 degrees. A ” acute triangle” has all angles that are less than 90 degrees. A ” obtuse triangle” has one angle that is greater than 90 degrees.

**To construct a triangle **

To construct a triangle, first draw a line. Then, at each end of the line, mark off two points. Connect the points to form the triangle.

## Construction of SSS triangle

The SSS triangle theorem states that if three points are located in a plane, and the three points are not all on the same line, then the points form a triangle. The side lengths of the triangle are the distances between the points.

## Construction of SAS triangle

To draw a SAS triangle, we need the following information:

-The length of the two sides that form the triangle

-The length of the angle between those two sides

We can use the Pythagorean theorem to find the length of the third side.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let’s say that we have the following information:

-The length of Side A is 5

-The length of Side B is 8

-The angle between Side A and Side B is 60 degrees

We can use the Pythagorean theorem to find the length of Side C.

Side C is the hypotenuse of the triangle, so its length is:

Side C = 5^2 + 8^2 = 25 + 64 = 89

We can also find the length of Side A and Side B.

Side A = 5^2 = 25

Side B = 8^2 = 64

## Construction of ASA triangle

The ASA triangle is a triangle with the vertices A, S, and A. The triangle is isosceles, with the length of the base being the length of the side opposite the angle A and the length of the altitude being the length of the side opposite the angle S.

## Construction of a Right-Angled Triangle

In mathematics, a right triangle is a triangle in which one of the angles is a right angle. The right angle is the angle that is perpendicular to the hypotenuse. The hypotenuse is the longest side of the triangle and it is the side that is opposite the right angle. The other two angles of the triangle are called the acute angles.

There are a few different ways to construct a right triangle. One way is to use a compass and a straight edge. First, draw a line and then use the compass to draw a circle. Make sure the compass is set to the same length as the line. Next, draw another line that intersects the circle. The point where the two lines intersect is the location of the right angle.

Another way to construct a right triangle is to use a protractor. First, draw a line and then use the protractor to draw a circle. Make sure the protractor is set to the same degree as the line. Next, draw another line that intersects the circle. The point where the two lines intersect is the location of the right angle.