What are the 3 ways to classify a triangle by its sides?
What are the 3 ways to classify a triangle by its sides?
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.
How can you classify triangles by their angles?
Triangles can also be classified by their angles. In an acute triangle all three angles are acute (less than 90 degrees). A right triangle contains one right angle and two acute angles. And an obtuse triangle contains one obtuse angle (greater than 90 degrees) and two acute angles.
How do you classify a triangle by its sides and measurements?
Classifying a triangle is as simple as comparing the sides. If all three sides have the same length then it is an EQUILATERAL triangle, if only two sides have the same length then it is an ISOSCELES triangle and if there are no sides that have the same length then it is a SCALENE triangle.
How do you classify each angle?
Classification of angles on the basis of their degree measures are given below:
- Acute Angle: An angle whose measure is more than 0° but less than 90° is called an acute angle.
- Obtuse Angle: An angle whose measure is more than 90° but less than 180° is called an obtuse angle.
- Straight Angle:
- Reflex Angle:
- Complete Angle:
How do you know if 3 sides make a right triangle?
Explanation: To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side. In other words, check if it works with the Pythagorean theorem: Does 32+42 equal 62?
What sides make a right triangle?
A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. There are a couple of special types of right triangles, like the 45°-45° right triangles and the 30°-60° right triangle.
Does 4 5 6 make right triangles?
Explanation: For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4 , 5 and 6 are not pythagorean triple.
Does 5 6 7 make right triangles?
2 Answers By Expert Tutors Therefore in this problem 7 is the larger length and should be the hypotenuse, and 5 and 6 should be the lengths of the other two sides. Calculating: √( 52+62) = √(25+36) = √61=7.82 ≠ 7 , Therefore this is not a right angle triangle based on the Pythagorean theorem.
How do you classify a triangle by its sides?
The types of triangles classified by their sides are the following: Equilateral triangle: A triangle with all three sides equal in measure. In Figure 1, the slash marks indicate equal measure. Isosceles triangle: A triangle in which at least two sides have equal measure (Figure 2).
Do all triangles have the same size?
All of each may be of different or the same sizes; any two sides or angles may be of the same size; there may be one distinctive angle. The types of triangles classified by their sides are the following: Equilateral triangle: A triangle with all three sides equal in measure. In Figure 1, the slash marks indicate equal measure.
What is a triangle with no equal sides and no angles?
A triangle without any equal sides and no equal angles is called scalene triangle. A triangle that has two equal sides and two angles of the same measure is called an isosceles triangle. Side f is called the base of an isosceles triangle, as the other two sides are of equal length that are called arms.
How do you divide a triangle by length?
We divide triangles by considering how many sides have the same length and how many angles are of the same measure. A triangle without any equal sides and no equal angles is called scalene triangle. A triangle that has two equal sides and two angles of the same measure is called an isosceles triangle.
