Classifying Triangles by Sides
- scalene triangle-a triangle with no congruent sides.
- isosceles triangle-a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)
- equilateral triangle-a triangle with exactly 3 congruent sides.
- NOTE: Congruent sides means that the sides have the same length or measure.
Furthermore, how do you classify a triangle by its angle measures?
An acute triangle has three angles that each measure less than 90 degrees. An equilateral triangle is a triangle in which all three sides are the same length. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.
Secondly, how do you identify a triangle?
- Acute Triangle: All angles are less than 90°.
- Obtuse Triangle: One angle is greater than 90°.
- Right Triangle: One angle is 90°.
- Equilateral Triangle: 3 equal sides. 3 equal angles.
- Isosceles Triangle: 2 equal sides. 2 equal angles.
- Scalene Triangle: No equal sides. No equal angles.
Thereof, what does it mean to classify a triangle?
Example: Classifying a Triangle The triangle has no sides of equal length. So, it is a scalene triangle. Example: Classifying a Triangle. Classify the triangle by its angles and by its side lengths. The triangle has one right angle and two sides of equal length.
How are triangles classified?
Triangles are classified, or grouped, in two different ways. One classification distinguishes among the sides, and another by the angles. For a triangle, you can have all three sides congruent (equal measure), or two sides congruent, or no sides congruent.
19 Related Question Answers Found
What are the classification of Triangle?
A triangle is scalene if all of its three sides are different (in which case, the three angles are also different). If two of its sides are equal, a triangle is called isosceles. A triangle with all three equal sides is called equilateral.
What does obtuse triangle mean?
An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.
What is the converse of the Pythagorean Theorem?
The Converse of Pythagorean Theorem. The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
How do you know if an obtuse is acute or right?
An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.
How does the Pythagorean theorem work?
The Pythagorean theorem deals with the lengths of the sides of a right triangle. The theorem states that: The sum of the squares of the lengths of the legs of a right triangle (‘a’ and ‘b’ in the triangle shown below) is equal to the square of the length of the hypotenuse (‘c’).
Is the triangle acute obtuse or right?
In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles—each one is less than 90 degrees. An acute triangle may be equilateral, isosceles, or scalene.
What are the 7 types of angles?
Types of Angles – Acute, Right, Obtuse, Straight and Reflex Anlges. When two lines intersect, at the point of their intersection an angle is formed.
How do you find the measure of an angle?
Using a Protractor The best way to measure an angle is to use a protractor. To do this, you’ll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle’s measurement to the nearest degree.
How many triangles are there?
How many total triangles are there? There are 3 triangles. There is 1 big triangle (from the no interior lines case), and then there are 2 new small triangles, making for 3 = 1 + 2. If we add another slanted vertical line, we end up with 6 = 1 + 2 + 3.
How do you define angles?
In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane.
What is triangle and its properties?
The properties of the triangle are: The sum of all the angles of a triangle(of all types) is equal to 1800. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
What is a unique triangle?
The two angles and any side condition determines a unique triangle. Since the condition has two different arrangements, we separate it into two conditions: the two angles and included side condition and the two angles and the side opposite a given angle condition.
What are the six types of triangles?
There are a number of different types of triangles, such as equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.
What does it mean to be congruent?
Congruent. Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.
Is a triangle a regular polygon?
A regular polygon is a polygon where all of the sides and angles are the same. An equilateral triangle is a regular polygon. It has all the same sides and the same angles. An isosceles triangle has two equal sides and two equal angles.
What does a scalene triangle look like?
A scalene triangle has three sides of different lengths. No congruent sides. Note: The angles in a scalene triangle are also of different measures. An isosceles triangle has two congruent sides.
Can a triangle have two obtuse angles?
Two obtuse angles by definition mean that there would be two angles of (at least) 91 degrees each. Therefore, a triangle can never have more than one obtuse angle. When an angle of a triangle is 90 degrees, the triangle cannot have an obtuse angle.
What is the formula of isosceles?
All Formulas to Find Isosceles Triangle Area Formulas to Find Area of Isosceles Triangle Using length of 2 sides and angle between them A = ½ × b × c × sin(α) Using 2 angles and length between them A = [c2×sin(β)×sin(α)/ 2×sin(2π−α−β)] Area formula for isosceles right triangle A = ½ × a2
What type of triangle has 3 acute angles?
A triangle that has three acute angels is called an acute triangle. A triangle that has one right angle is called a right triangle. A triangle that has one obtuse angle is called an obtuse triangle. When a triangle has three congruent sides, we call the triangle an equilateral triangle.