Table of Contents
Types of Triangles
There are three types of triangles: equilateral, isosceles, and scalene.
- Equilateral triangles have three sides of equal length and all angles are 60 degrees.
- Isosceles triangles have two sides of equal length and two angles of equal measure.
- Scalene triangles have three sides of unequal length and no angles of equal measure.
Terms Related To Triangles:
- Angle: the measure of a point in a plane where two lines meet, or the measure of the opening between two parallel lines.
- Base: the length of the side of a triangle opposite the angle.
- Height: the length of the perpendicular line from the triangle’s base to the angle.
- Hypotenuse: the longest side of a right triangle, opposite the right angle.
- Leg: a side of a triangle.
- Triangle: a three-sided polygon.
Types of Triangles
There are three types of triangles: equilateral, isosceles, and scalene.
- An equilateral triangle is a triangle with three equal sides.
- An isosceles triangle is a triangle with two equal sides.
- A scalene triangle is a triangle with three different sides.
Scalene Triangles
A scalene triangle is a triangle with three unequal sides.
Isosceles Triangles
An isosceles triangle is a triangle with two equal sides. The angle between these two sides is called the angle of isosceles.
Equilateral Triangles
An equilateral triangle is a triangle with all sides of the same length. This type of triangle has three angles of 60 degrees each.
Types of Triangles based on Angles:
There are three types of triangles based on the angles: acute triangle, right triangle, and obtuse triangle.
- An acute triangle has three acute angles.
- A right triangle has one right angle.
- An obtuse triangle has one obtuse angle.
Acute Triangles
The acute triangle is a geometrical figure with three sides and three angles. The angles of an acute triangle are all less than 90 degrees.
Obtuse Triangles
An obtuse triangle has one angle that is greater than 90°. The other two angles are less than 90°.
Right-Angled Triangles
- A right-angled triangle is a triangle with a right angle. A right angle is an angle that is 90 degrees. Right-angled triangles are very important in mathematics.
- There are a few special things about right-angled triangles that make them interesting to mathematicians. For one, the sum of the squares of the lengths of the two shorter sides of a right-angled triangle is always equal to the square of the length of the longest side. This is called the Pythagorean theorem, and it is one of the most famous theorems in mathematics.
- Another interesting thing about right-angled triangles is that they can be used to solve problems involving angles. For example, if you know one angle in a right-angled triangle and you want to find the other two angles, you can use a process called trigonometry to do so.
- Right-angled triangles are also used in engineering and physics. For example, they can be used to calculate the height of a building or the distance between two points.
- Overall, right-angled triangles are a very important part of mathematics. They can be used to solve a variety of different problems, and they are important in many different fields.
